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Finding the Third Proportional to 142,086.66 and 219,588.47

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Solution

The third proportional to 142,086.66 and 219,588.47 is: 339,364.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,086.66 : 219,588.47 = 219,588.47 : x
  2. Step 2: Convert to fraction form
    142,086.66/219,588.47 = 219,588.47/x
  3. Step 3: Cross multiply
    142,086.66x = 219,588.47 × 219,588.47
  4. Step 4: Simplify right side
    142,086.66x = 48,219,095,607.97
  5. Step 5: Solve for x
    x = 48,219,095,607.97/142,086.66
  6. Step 6: Final answer
    x = 339,364.00

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Why These Related Problems?

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