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Finding the Third Proportional to 315,107 and 471,560

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Solution

The third proportional to 315,107 and 471,560 is: 705,693.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,107 : 471,560 = 471,560 : x
  2. Step 2: Convert to fraction form
    315,107/471,560 = 471,560/x
  3. Step 3: Cross multiply
    315,107x = 471,560 × 471,560
  4. Step 4: Simplify right side
    315,107x = 222,368,833,600
  5. Step 5: Solve for x
    x = 222,368,833,600/315,107
  6. Step 6: Final answer
    x = 705,693.09

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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.