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Finding the Third Proportional to 417,918 and 544,416

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Solution

The third proportional to 417,918 and 544,416 is: 709,203.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,918 : 544,416 = 544,416 : x
  2. Step 2: Convert to fraction form
    417,918/544,416 = 544,416/x
  3. Step 3: Cross multiply
    417,918x = 544,416 × 544,416
  4. Step 4: Simplify right side
    417,918x = 296,388,781,056
  5. Step 5: Solve for x
    x = 296,388,781,056/417,918
  6. Step 6: Final answer
    x = 709,203.20

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.