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Finding the Third Proportional to 459,432 and 992,664

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Solution

The third proportional to 459,432 and 992,664 is: 2,144,782.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,432 : 992,664 = 992,664 : x
  2. Step 2: Convert to fraction form
    459,432/992,664 = 992,664/x
  3. Step 3: Cross multiply
    459,432x = 992,664 × 992,664
  4. Step 4: Simplify right side
    459,432x = 985,381,816,896
  5. Step 5: Solve for x
    x = 985,381,816,896/459,432
  6. Step 6: Final answer
    x = 2,144,782.72

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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.