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Finding the Third Proportional to 207,669 and 272,685

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Solution

The third proportional to 207,669 and 272,685 is: 358,055.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,669 : 272,685 = 272,685 : x
  2. Step 2: Convert to fraction form
    207,669/272,685 = 272,685/x
  3. Step 3: Cross multiply
    207,669x = 272,685 × 272,685
  4. Step 4: Simplify right side
    207,669x = 74,357,109,225
  5. Step 5: Solve for x
    x = 74,357,109,225/207,669
  6. Step 6: Final answer
    x = 358,055.89

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.