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Finding the Third Proportional to 86,386.50 and 141,061.50

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Solution

The third proportional to 86,386.50 and 141,061.50 is: 230,340.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,386.50 : 141,061.50 = 141,061.50 : x
  2. Step 2: Convert to fraction form
    86,386.50/141,061.50 = 141,061.50/x
  3. Step 3: Cross multiply
    86,386.50x = 141,061.50 × 141,061.50
  4. Step 4: Simplify right side
    86,386.50x = 19,898,346,782.25
  5. Step 5: Solve for x
    x = 19,898,346,782.25/86,386.50
  6. Step 6: Final answer
    x = 230,340.93

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.