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Finding the Third Proportional to 200,723 and 272,470

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Solution

The third proportional to 200,723 and 272,470 is: 369,862.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,723 : 272,470 = 272,470 : x
  2. Step 2: Convert to fraction form
    200,723/272,470 = 272,470/x
  3. Step 3: Cross multiply
    200,723x = 272,470 × 272,470
  4. Step 4: Simplify right side
    200,723x = 74,239,900,900
  5. Step 5: Solve for x
    x = 74,239,900,900/200,723
  6. Step 6: Final answer
    x = 369,862.45

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.