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Finding the Third Proportional to 84,525 and 130,810.50

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Solution

The third proportional to 84,525 and 130,810.50 is: 202,441.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,525 : 130,810.50 = 130,810.50 : x
  2. Step 2: Convert to fraction form
    84,525/130,810.50 = 130,810.50/x
  3. Step 3: Cross multiply
    84,525x = 130,810.50 × 130,810.50
  4. Step 4: Simplify right side
    84,525x = 17,111,386,910.25
  5. Step 5: Solve for x
    x = 17,111,386,910.25/84,525
  6. Step 6: Final answer
    x = 202,441.73

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.