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Finding the Third Proportional to 402,458 and 544,638

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Solution

The third proportional to 402,458 and 544,638 is: 737,047.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,458 : 544,638 = 544,638 : x
  2. Step 2: Convert to fraction form
    402,458/544,638 = 544,638/x
  3. Step 3: Cross multiply
    402,458x = 544,638 × 544,638
  4. Step 4: Simplify right side
    402,458x = 296,630,551,044
  5. Step 5: Solve for x
    x = 296,630,551,044/402,458
  6. Step 6: Final answer
    x = 737,047.22

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.