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Finding the Third Proportional to 311,585 and 508,743

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Solution

The third proportional to 311,585 and 508,743 is: 830,654.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,585 : 508,743 = 508,743 : x
  2. Step 2: Convert to fraction form
    311,585/508,743 = 508,743/x
  3. Step 3: Cross multiply
    311,585x = 508,743 × 508,743
  4. Step 4: Simplify right side
    311,585x = 258,819,440,049
  5. Step 5: Solve for x
    x = 258,819,440,049/311,585
  6. Step 6: Final answer
    x = 830,654.36

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.