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Finding the Third Proportional to 402,448 and 544,623

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Solution

The third proportional to 402,448 and 544,623 is: 737,024.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,448 : 544,623 = 544,623 : x
  2. Step 2: Convert to fraction form
    402,448/544,623 = 544,623/x
  3. Step 3: Cross multiply
    402,448x = 544,623 × 544,623
  4. Step 4: Simplify right side
    402,448x = 296,614,212,129
  5. Step 5: Solve for x
    x = 296,614,212,129/402,448
  6. Step 6: Final answer
    x = 737,024.94

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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.