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Finding the Third Proportional to 145,897 and 316,694

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Solution

The third proportional to 145,897 and 316,694 is: 687,437.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,897 : 316,694 = 316,694 : x
  2. Step 2: Convert to fraction form
    145,897/316,694 = 316,694/x
  3. Step 3: Cross multiply
    145,897x = 316,694 × 316,694
  4. Step 4: Simplify right side
    145,897x = 100,295,089,636
  5. Step 5: Solve for x
    x = 100,295,089,636/145,897
  6. Step 6: Final answer
    x = 687,437.64

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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.