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Finding the Third Proportional to 415,672 and 904,128

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Solution

The third proportional to 415,672 and 904,128 is: 1,966,568.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,672 : 904,128 = 904,128 : x
  2. Step 2: Convert to fraction form
    415,672/904,128 = 904,128/x
  3. Step 3: Cross multiply
    415,672x = 904,128 × 904,128
  4. Step 4: Simplify right side
    415,672x = 817,447,440,384
  5. Step 5: Solve for x
    x = 817,447,440,384/415,672
  6. Step 6: Final answer
    x = 1,966,568.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.