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Finding the Third Proportional to 142,681 and 221,235

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Solution

The third proportional to 142,681 and 221,235 is: 343,037.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,681 : 221,235 = 221,235 : x
  2. Step 2: Convert to fraction form
    142,681/221,235 = 221,235/x
  3. Step 3: Cross multiply
    142,681x = 221,235 × 221,235
  4. Step 4: Simplify right side
    142,681x = 48,944,925,225
  5. Step 5: Solve for x
    x = 48,944,925,225/142,681
  6. Step 6: Final answer
    x = 343,037.44

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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.