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Finding the Third Proportional to 317,564 and 491,498

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Solution

The third proportional to 317,564 and 491,498 is: 760,697.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,564 : 491,498 = 491,498 : x
  2. Step 2: Convert to fraction form
    317,564/491,498 = 491,498/x
  3. Step 3: Cross multiply
    317,564x = 491,498 × 491,498
  4. Step 4: Simplify right side
    317,564x = 241,570,284,004
  5. Step 5: Solve for x
    x = 241,570,284,004/317,564
  6. Step 6: Final answer
    x = 760,697.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.