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Finding the Third Proportional to 415,480 and 918,152

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Solution

The third proportional to 415,480 and 918,152 is: 2,028,985.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,480 : 918,152 = 918,152 : x
  2. Step 2: Convert to fraction form
    415,480/918,152 = 918,152/x
  3. Step 3: Cross multiply
    415,480x = 918,152 × 918,152
  4. Step 4: Simplify right side
    415,480x = 843,003,095,104
  5. Step 5: Solve for x
    x = 843,003,095,104/415,480
  6. Step 6: Final answer
    x = 2,028,985.98

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.