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Finding the Third Proportional to 21,987.70 and 42,881.70

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Solution

The third proportional to 21,987.70 and 42,881.70 is: 83,630.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,987.70 : 42,881.70 = 42,881.70 : x
  2. Step 2: Convert to fraction form
    21,987.70/42,881.70 = 42,881.70/x
  3. Step 3: Cross multiply
    21,987.70x = 42,881.70 × 42,881.70
  4. Step 4: Simplify right side
    21,987.70x = 1,838,839,792.87
  5. Step 5: Solve for x
    x = 1,838,839,792.87/21,987.70
  6. Step 6: Final answer
    x = 83,630.37

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.