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Finding the Third Proportional to 389,915,352 and 856,362,600

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Solution

The third proportional to 389,915,352 and 856,362,600 is: 1,880,810,537.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,915,352 : 856,362,600 = 856,362,600 : x
  2. Step 2: Convert to fraction form
    389,915,352/856,362,600 = 856,362,600/x
  3. Step 3: Cross multiply
    389,915,352x = 856,362,600 × 856,362,600
  4. Step 4: Simplify right side
    389,915,352x = 733,356,902,678,759,936
  5. Step 5: Solve for x
    x = 733,356,902,678,759,936/389,915,352
  6. Step 6: Final answer
    x = 1,880,810,537.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.