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Finding the Third Proportional to 309,644 and 478,557

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Solution

The third proportional to 309,644 and 478,557 is: 739,613.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,644 : 478,557 = 478,557 : x
  2. Step 2: Convert to fraction form
    309,644/478,557 = 478,557/x
  3. Step 3: Cross multiply
    309,644x = 478,557 × 478,557
  4. Step 4: Simplify right side
    309,644x = 229,016,802,249
  5. Step 5: Solve for x
    x = 229,016,802,249/309,644
  6. Step 6: Final answer
    x = 739,613.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.