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Finding the Third Proportional to 521,035 and 779,362

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Solution

The third proportional to 521,035 and 779,362 is: 1,165,766.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,035 : 779,362 = 779,362 : x
  2. Step 2: Convert to fraction form
    521,035/779,362 = 779,362/x
  3. Step 3: Cross multiply
    521,035x = 779,362 × 779,362
  4. Step 4: Simplify right side
    521,035x = 607,405,127,044
  5. Step 5: Solve for x
    x = 607,405,127,044/521,035
  6. Step 6: Final answer
    x = 1,165,766.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.