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Finding the Third Proportional to 425,850 and 921,828

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Solution

The third proportional to 425,850 and 921,828 is: 1,995,460.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,850 : 921,828 = 921,828 : x
  2. Step 2: Convert to fraction form
    425,850/921,828 = 921,828/x
  3. Step 3: Cross multiply
    425,850x = 921,828 × 921,828
  4. Step 4: Simplify right side
    425,850x = 849,766,861,584
  5. Step 5: Solve for x
    x = 849,766,861,584/425,850
  6. Step 6: Final answer
    x = 1,995,460.52

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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.