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Finding the Third Proportional to 195,730 and 272,347

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Solution

The third proportional to 195,730 and 272,347 is: 378,955.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,730 : 272,347 = 272,347 : x
  2. Step 2: Convert to fraction form
    195,730/272,347 = 272,347/x
  3. Step 3: Cross multiply
    195,730x = 272,347 × 272,347
  4. Step 4: Simplify right side
    195,730x = 74,172,888,409
  5. Step 5: Solve for x
    x = 74,172,888,409/195,730
  6. Step 6: Final answer
    x = 378,955.13

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.