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Finding the Third Proportional to 90,088.50 and 141,320.25

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Solution

The third proportional to 90,088.50 and 141,320.25 is: 221,686.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,088.50 : 141,320.25 = 141,320.25 : x
  2. Step 2: Convert to fraction form
    90,088.50/141,320.25 = 141,320.25/x
  3. Step 3: Cross multiply
    90,088.50x = 141,320.25 × 141,320.25
  4. Step 4: Simplify right side
    90,088.50x = 19,971,413,060.06
  5. Step 5: Solve for x
    x = 19,971,413,060.06/90,088.50
  6. Step 6: Final answer
    x = 221,686.60

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.