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Finding the Third Proportional to 415,600 and 908,960

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Solution

The third proportional to 415,600 and 908,960 is: 1,987,989.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,600 : 908,960 = 908,960 : x
  2. Step 2: Convert to fraction form
    415,600/908,960 = 908,960/x
  3. Step 3: Cross multiply
    415,600x = 908,960 × 908,960
  4. Step 4: Simplify right side
    415,600x = 826,208,281,600
  5. Step 5: Solve for x
    x = 826,208,281,600/415,600
  6. Step 6: Final answer
    x = 1,987,989.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.