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Finding the Third Proportional to 540,838 and 840,755

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Solution

The third proportional to 540,838 and 840,755 is: 1,306,988.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,838 : 840,755 = 840,755 : x
  2. Step 2: Convert to fraction form
    540,838/840,755 = 840,755/x
  3. Step 3: Cross multiply
    540,838x = 840,755 × 840,755
  4. Step 4: Simplify right side
    540,838x = 706,868,970,025
  5. Step 5: Solve for x
    x = 706,868,970,025/540,838
  6. Step 6: Final answer
    x = 1,306,988.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.