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Finding the Third Proportional to 60,460 and 128,240

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Solution

The third proportional to 60,460 and 128,240 is: 272,006.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,460 : 128,240 = 128,240 : x
  2. Step 2: Convert to fraction form
    60,460/128,240 = 128,240/x
  3. Step 3: Cross multiply
    60,460x = 128,240 × 128,240
  4. Step 4: Simplify right side
    60,460x = 16,445,497,600
  5. Step 5: Solve for x
    x = 16,445,497,600/60,460
  6. Step 6: Final answer
    x = 272,006.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.