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Finding the Third Proportional to 316,580 and 452,680

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Solution

The third proportional to 316,580 and 452,680 is: 647,290.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,580 : 452,680 = 452,680 : x
  2. Step 2: Convert to fraction form
    316,580/452,680 = 452,680/x
  3. Step 3: Cross multiply
    316,580x = 452,680 × 452,680
  4. Step 4: Simplify right side
    316,580x = 204,919,182,400
  5. Step 5: Solve for x
    x = 204,919,182,400/316,580
  6. Step 6: Final answer
    x = 647,290.36

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.