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Finding the Third Proportional to 153,681 and 314,949

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Solution

The third proportional to 153,681 and 314,949 is: 645,446.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,681 : 314,949 = 314,949 : x
  2. Step 2: Convert to fraction form
    153,681/314,949 = 314,949/x
  3. Step 3: Cross multiply
    153,681x = 314,949 × 314,949
  4. Step 4: Simplify right side
    153,681x = 99,192,872,601
  5. Step 5: Solve for x
    x = 99,192,872,601/153,681
  6. Step 6: Final answer
    x = 645,446.56

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.