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Finding the Third Proportional to 145,304 and 312,872

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Solution

The third proportional to 145,304 and 312,872 is: 673,683.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,304 : 312,872 = 312,872 : x
  2. Step 2: Convert to fraction form
    145,304/312,872 = 312,872/x
  3. Step 3: Cross multiply
    145,304x = 312,872 × 312,872
  4. Step 4: Simplify right side
    145,304x = 97,888,888,384
  5. Step 5: Solve for x
    x = 97,888,888,384/145,304
  6. Step 6: Final answer
    x = 673,683.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.