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Finding the Third Proportional to 145,947 and 316,677

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Solution

The third proportional to 145,947 and 316,677 is: 687,128.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,947 : 316,677 = 316,677 : x
  2. Step 2: Convert to fraction form
    145,947/316,677 = 316,677/x
  3. Step 3: Cross multiply
    145,947x = 316,677 × 316,677
  4. Step 4: Simplify right side
    145,947x = 100,284,322,329
  5. Step 5: Solve for x
    x = 100,284,322,329/145,947
  6. Step 6: Final answer
    x = 687,128.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.