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Finding the Third Proportional to 130,070 and 281,038

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Solution

The third proportional to 130,070 and 281,038 is: 607,229.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,070 : 281,038 = 281,038 : x
  2. Step 2: Convert to fraction form
    130,070/281,038 = 281,038/x
  3. Step 3: Cross multiply
    130,070x = 281,038 × 281,038
  4. Step 4: Simplify right side
    130,070x = 78,982,357,444
  5. Step 5: Solve for x
    x = 78,982,357,444/130,070
  6. Step 6: Final answer
    x = 607,229.63

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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.