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Finding the Third Proportional to 82,320 and 130,909.50

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Solution

The third proportional to 82,320 and 130,909.50 is: 208,179.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,320 : 130,909.50 = 130,909.50 : x
  2. Step 2: Convert to fraction form
    82,320/130,909.50 = 130,909.50/x
  3. Step 3: Cross multiply
    82,320x = 130,909.50 × 130,909.50
  4. Step 4: Simplify right side
    82,320x = 17,137,297,190.25
  5. Step 5: Solve for x
    x = 17,137,297,190.25/82,320
  6. Step 6: Final answer
    x = 208,179.02

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.