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Finding the Third Proportional to 317,560 and 491,492

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Solution

The third proportional to 317,560 and 491,492 is: 760,688.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,560 : 491,492 = 491,492 : x
  2. Step 2: Convert to fraction form
    317,560/491,492 = 491,492/x
  3. Step 3: Cross multiply
    317,560x = 491,492 × 491,492
  4. Step 4: Simplify right side
    317,560x = 241,564,386,064
  5. Step 5: Solve for x
    x = 241,564,386,064/317,560
  6. Step 6: Final answer
    x = 760,688.96

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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.