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Finding the Third Proportional to 60,420 and 130,564

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Solution

The third proportional to 60,420 and 130,564 is: 282,140.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,420 : 130,564 = 130,564 : x
  2. Step 2: Convert to fraction form
    60,420/130,564 = 130,564/x
  3. Step 3: Cross multiply
    60,420x = 130,564 × 130,564
  4. Step 4: Simplify right side
    60,420x = 17,046,958,096
  5. Step 5: Solve for x
    x = 17,046,958,096/60,420
  6. Step 6: Final answer
    x = 282,140.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.