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Finding the Third Proportional to 143,854 and 316,260

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Solution

The third proportional to 143,854 and 316,260 is: 695,290.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,854 : 316,260 = 316,260 : x
  2. Step 2: Convert to fraction form
    143,854/316,260 = 316,260/x
  3. Step 3: Cross multiply
    143,854x = 316,260 × 316,260
  4. Step 4: Simplify right side
    143,854x = 100,020,387,600
  5. Step 5: Solve for x
    x = 100,020,387,600/143,854
  6. Step 6: Final answer
    x = 695,290.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.