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Finding the Third Proportional to 426,632 and 921,674

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Solution

The third proportional to 426,632 and 921,674 is: 1,991,137.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,632 : 921,674 = 921,674 : x
  2. Step 2: Convert to fraction form
    426,632/921,674 = 921,674/x
  3. Step 3: Cross multiply
    426,632x = 921,674 × 921,674
  4. Step 4: Simplify right side
    426,632x = 849,482,962,276
  5. Step 5: Solve for x
    x = 849,482,962,276/426,632
  6. Step 6: Final answer
    x = 1,991,137.47

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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.