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Finding the Third Proportional to 315,186 and 471,663

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Solution

The third proportional to 315,186 and 471,663 is: 705,824.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,186 : 471,663 = 471,663 : x
  2. Step 2: Convert to fraction form
    315,186/471,663 = 471,663/x
  3. Step 3: Cross multiply
    315,186x = 471,663 × 471,663
  4. Step 4: Simplify right side
    315,186x = 222,465,985,569
  5. Step 5: Solve for x
    x = 222,465,985,569/315,186
  6. Step 6: Final answer
    x = 705,824.45

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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.