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Finding the Third Proportional to 136,971 and 297,270

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Solution

The third proportional to 136,971 and 297,270 is: 645,169.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,971 : 297,270 = 297,270 : x
  2. Step 2: Convert to fraction form
    136,971/297,270 = 297,270/x
  3. Step 3: Cross multiply
    136,971x = 297,270 × 297,270
  4. Step 4: Simplify right side
    136,971x = 88,369,452,900
  5. Step 5: Solve for x
    x = 88,369,452,900/136,971
  6. Step 6: Final answer
    x = 645,169.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.