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Finding the Third Proportional to 145,579 and 308,654

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Solution

The third proportional to 145,579 and 308,654 is: 654,402.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,579 : 308,654 = 308,654 : x
  2. Step 2: Convert to fraction form
    145,579/308,654 = 308,654/x
  3. Step 3: Cross multiply
    145,579x = 308,654 × 308,654
  4. Step 4: Simplify right side
    145,579x = 95,267,291,716
  5. Step 5: Solve for x
    x = 95,267,291,716/145,579
  6. Step 6: Final answer
    x = 654,402.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.