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Finding the Third Proportional to 415,840 and 643,632

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Solution

The third proportional to 415,840 and 643,632 is: 996,205.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,840 : 643,632 = 643,632 : x
  2. Step 2: Convert to fraction form
    415,840/643,632 = 643,632/x
  3. Step 3: Cross multiply
    415,840x = 643,632 × 643,632
  4. Step 4: Simplify right side
    415,840x = 414,262,151,424
  5. Step 5: Solve for x
    x = 414,262,151,424/415,840
  6. Step 6: Final answer
    x = 996,205.64

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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.