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Finding the Third Proportional to 142,490 and 220,923

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Solution

The third proportional to 142,490 and 220,923 is: 342,529.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,490 : 220,923 = 220,923 : x
  2. Step 2: Convert to fraction form
    142,490/220,923 = 220,923/x
  3. Step 3: Cross multiply
    142,490x = 220,923 × 220,923
  4. Step 4: Simplify right side
    142,490x = 48,806,971,929
  5. Step 5: Solve for x
    x = 48,806,971,929/142,490
  6. Step 6: Final answer
    x = 342,529.10

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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.