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Finding the Third Proportional to 130,552 and 281,840

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Solution

The third proportional to 130,552 and 281,840 is: 608,445.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,552 : 281,840 = 281,840 : x
  2. Step 2: Convert to fraction form
    130,552/281,840 = 281,840/x
  3. Step 3: Cross multiply
    130,552x = 281,840 × 281,840
  4. Step 4: Simplify right side
    130,552x = 79,433,785,600
  5. Step 5: Solve for x
    x = 79,433,785,600/130,552
  6. Step 6: Final answer
    x = 608,445.57

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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.