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Finding the Third Proportional to 315,229 and 471,730

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Solution

The third proportional to 315,229 and 471,730 is: 705,928.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,229 : 471,730 = 471,730 : x
  2. Step 2: Convert to fraction form
    315,229/471,730 = 471,730/x
  3. Step 3: Cross multiply
    315,229x = 471,730 × 471,730
  4. Step 4: Simplify right side
    315,229x = 222,529,192,900
  5. Step 5: Solve for x
    x = 222,529,192,900/315,229
  6. Step 6: Final answer
    x = 705,928.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.