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Finding the Third Proportional to 383,561 and 807,559

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Solution

The third proportional to 383,561 and 807,559 is: 1,700,255.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,561 : 807,559 = 807,559 : x
  2. Step 2: Convert to fraction form
    383,561/807,559 = 807,559/x
  3. Step 3: Cross multiply
    383,561x = 807,559 × 807,559
  4. Step 4: Simplify right side
    383,561x = 652,151,538,481
  5. Step 5: Solve for x
    x = 652,151,538,481/383,561
  6. Step 6: Final answer
    x = 1,700,255.08

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.