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Finding the Third Proportional to 68,434 and 141,460

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Solution

The third proportional to 68,434 and 141,460 is: 292,412.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,434 : 141,460 = 141,460 : x
  2. Step 2: Convert to fraction form
    68,434/141,460 = 141,460/x
  3. Step 3: Cross multiply
    68,434x = 141,460 × 141,460
  4. Step 4: Simplify right side
    68,434x = 20,010,931,600
  5. Step 5: Solve for x
    x = 20,010,931,600/68,434
  6. Step 6: Final answer
    x = 292,412.13

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.