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Finding the Third Proportional to 136,319 and 297,910

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Solution

The third proportional to 136,319 and 297,910 is: 651,049.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,319 : 297,910 = 297,910 : x
  2. Step 2: Convert to fraction form
    136,319/297,910 = 297,910/x
  3. Step 3: Cross multiply
    136,319x = 297,910 × 297,910
  4. Step 4: Simplify right side
    136,319x = 88,750,368,100
  5. Step 5: Solve for x
    x = 88,750,368,100/136,319
  6. Step 6: Final answer
    x = 651,049.14

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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.