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Finding the Third Proportional to 415,028 and 626,352

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Solution

The third proportional to 415,028 and 626,352 is: 945,277.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,028 : 626,352 = 626,352 : x
  2. Step 2: Convert to fraction form
    415,028/626,352 = 626,352/x
  3. Step 3: Cross multiply
    415,028x = 626,352 × 626,352
  4. Step 4: Simplify right side
    415,028x = 392,316,827,904
  5. Step 5: Solve for x
    x = 392,316,827,904/415,028
  6. Step 6: Final answer
    x = 945,277.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.