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Finding the Third Proportional to 317,552 and 491,480

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Solution

The third proportional to 317,552 and 491,480 is: 760,670.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,552 : 491,480 = 491,480 : x
  2. Step 2: Convert to fraction form
    317,552/491,480 = 491,480/x
  3. Step 3: Cross multiply
    317,552x = 491,480 × 491,480
  4. Step 4: Simplify right side
    317,552x = 241,552,590,400
  5. Step 5: Solve for x
    x = 241,552,590,400/317,552
  6. Step 6: Final answer
    x = 760,670.98

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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.