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Finding the Third Proportional to 189,988 and 410,432

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Solution

The third proportional to 189,988 and 410,432 is: 886,658.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,988 : 410,432 = 410,432 : x
  2. Step 2: Convert to fraction form
    189,988/410,432 = 410,432/x
  3. Step 3: Cross multiply
    189,988x = 410,432 × 410,432
  4. Step 4: Simplify right side
    189,988x = 168,454,426,624
  5. Step 5: Solve for x
    x = 168,454,426,624/189,988
  6. Step 6: Final answer
    x = 886,658.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.