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Finding the Third Proportional to 136,315 and 297,902

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Solution

The third proportional to 136,315 and 297,902 is: 651,033.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,315 : 297,902 = 297,902 : x
  2. Step 2: Convert to fraction form
    136,315/297,902 = 297,902/x
  3. Step 3: Cross multiply
    136,315x = 297,902 × 297,902
  4. Step 4: Simplify right side
    136,315x = 88,745,601,604
  5. Step 5: Solve for x
    x = 88,745,601,604/136,315
  6. Step 6: Final answer
    x = 651,033.28

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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.