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Finding the Third Proportional to 85,783.13 and 130,132.88

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Solution

The third proportional to 85,783.13 and 130,132.88 is: 197,411.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,783.13 : 130,132.88 = 130,132.88 : x
  2. Step 2: Convert to fraction form
    85,783.13/130,132.88 = 130,132.88/x
  3. Step 3: Cross multiply
    85,783.13x = 130,132.88 × 130,132.88
  4. Step 4: Simplify right side
    85,783.13x = 16,934,565,155.77
  5. Step 5: Solve for x
    x = 16,934,565,155.77/85,783.13
  6. Step 6: Final answer
    x = 197,411.38

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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.