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Finding the Third Proportional to 421,731,487,440 and 642,464,347,355

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Solution

The third proportional to 421,731,487,440 and 642,464,347,355 is: 978,728,053,074.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,731,487,440 : 642,464,347,355 = 642,464,347,355 : x
  2. Step 2: Convert to fraction form
    421,731,487,440/642,464,347,355 = 642,464,347,355/x
  3. Step 3: Cross multiply
    421,731,487,440x = 642,464,347,355 × 642,464,347,355
  4. Step 4: Simplify right side
    421,731,487,440x = 412,760,437,622,286,114,095,104
  5. Step 5: Solve for x
    x = 412,760,437,622,286,114,095,104/421,731,487,440
  6. Step 6: Final answer
    x = 978,728,053,074.32

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.