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Finding the Third Proportional to 511,681 and 767,582

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Solution

The third proportional to 511,681 and 767,582 is: 1,151,463.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,681 : 767,582 = 767,582 : x
  2. Step 2: Convert to fraction form
    511,681/767,582 = 767,582/x
  3. Step 3: Cross multiply
    511,681x = 767,582 × 767,582
  4. Step 4: Simplify right side
    511,681x = 589,182,126,724
  5. Step 5: Solve for x
    x = 589,182,126,724/511,681
  6. Step 6: Final answer
    x = 1,151,463.76

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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.