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Finding the Third Proportional to 317,670 and 619,377

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Solution

The third proportional to 317,670 and 619,377 is: 1,207,630.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,670 : 619,377 = 619,377 : x
  2. Step 2: Convert to fraction form
    317,670/619,377 = 619,377/x
  3. Step 3: Cross multiply
    317,670x = 619,377 × 619,377
  4. Step 4: Simplify right side
    317,670x = 383,627,868,129
  5. Step 5: Solve for x
    x = 383,627,868,129/317,670
  6. Step 6: Final answer
    x = 1,207,630.14

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.