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Finding the Third Proportional to 142,473 and 221,482

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Solution

The third proportional to 142,473 and 221,482 is: 344,305.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,473 : 221,482 = 221,482 : x
  2. Step 2: Convert to fraction form
    142,473/221,482 = 221,482/x
  3. Step 3: Cross multiply
    142,473x = 221,482 × 221,482
  4. Step 4: Simplify right side
    142,473x = 49,054,276,324
  5. Step 5: Solve for x
    x = 49,054,276,324/142,473
  6. Step 6: Final answer
    x = 344,305.77

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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.