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Finding the Third Proportional to 85,627.60 and 130,461.10

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Solution

The third proportional to 85,627.60 and 130,461.10 is: 198,768.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,627.60 : 130,461.10 = 130,461.10 : x
  2. Step 2: Convert to fraction form
    85,627.60/130,461.10 = 130,461.10/x
  3. Step 3: Cross multiply
    85,627.60x = 130,461.10 × 130,461.10
  4. Step 4: Simplify right side
    85,627.60x = 17,020,098,511.29
  5. Step 5: Solve for x
    x = 17,020,098,511.29/85,627.60
  6. Step 6: Final answer
    x = 198,768.84

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.