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Finding the Third Proportional to 290,438 and 626,762

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Solution

The third proportional to 290,438 and 626,762 is: 1,352,545.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,438 : 626,762 = 626,762 : x
  2. Step 2: Convert to fraction form
    290,438/626,762 = 626,762/x
  3. Step 3: Cross multiply
    290,438x = 626,762 × 626,762
  4. Step 4: Simplify right side
    290,438x = 392,830,604,644
  5. Step 5: Solve for x
    x = 392,830,604,644/290,438
  6. Step 6: Final answer
    x = 1,352,545.48

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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.