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Finding the Third Proportional to 32,283 and 49,864.50

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Solution

The third proportional to 32,283 and 49,864.50 is: 77,020.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,283 : 49,864.50 = 49,864.50 : x
  2. Step 2: Convert to fraction form
    32,283/49,864.50 = 49,864.50/x
  3. Step 3: Cross multiply
    32,283x = 49,864.50 × 49,864.50
  4. Step 4: Simplify right side
    32,283x = 2,486,468,360.25
  5. Step 5: Solve for x
    x = 2,486,468,360.25/32,283
  6. Step 6: Final answer
    x = 77,020.98

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.