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Finding the Third Proportional to 540,827 and 840,739

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Solution

The third proportional to 540,827 and 840,739 is: 1,306,965.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,827 : 840,739 = 840,739 : x
  2. Step 2: Convert to fraction form
    540,827/840,739 = 840,739/x
  3. Step 3: Cross multiply
    540,827x = 840,739 × 840,739
  4. Step 4: Simplify right side
    540,827x = 706,842,066,121
  5. Step 5: Solve for x
    x = 706,842,066,121/540,827
  6. Step 6: Final answer
    x = 1,306,965.20

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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.