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Finding the Third Proportional to 542,864 and 779,020

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Solution

The third proportional to 542,864 and 779,020 is: 1,117,908.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,864 : 779,020 = 779,020 : x
  2. Step 2: Convert to fraction form
    542,864/779,020 = 779,020/x
  3. Step 3: Cross multiply
    542,864x = 779,020 × 779,020
  4. Step 4: Simplify right side
    542,864x = 606,872,160,400
  5. Step 5: Solve for x
    x = 606,872,160,400/542,864
  6. Step 6: Final answer
    x = 1,117,908.28

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.