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Finding the Third Proportional to 153,906 and 329,709

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Solution

The third proportional to 153,906 and 329,709 is: 706,327.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,906 : 329,709 = 329,709 : x
  2. Step 2: Convert to fraction form
    153,906/329,709 = 329,709/x
  3. Step 3: Cross multiply
    153,906x = 329,709 × 329,709
  4. Step 4: Simplify right side
    153,906x = 108,708,024,681
  5. Step 5: Solve for x
    x = 108,708,024,681/153,906
  6. Step 6: Final answer
    x = 706,327.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.