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Finding the Third Proportional to 358,307 and 517,959

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Solution

The third proportional to 358,307 and 517,959 is: 748,747.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,307 : 517,959 = 517,959 : x
  2. Step 2: Convert to fraction form
    358,307/517,959 = 517,959/x
  3. Step 3: Cross multiply
    358,307x = 517,959 × 517,959
  4. Step 4: Simplify right side
    358,307x = 268,281,525,681
  5. Step 5: Solve for x
    x = 268,281,525,681/358,307
  6. Step 6: Final answer
    x = 748,747.65

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.