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Finding the Third Proportional to 83,309 and 118,731

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Solution

The third proportional to 83,309 and 118,731 is: 169,214.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,309 : 118,731 = 118,731 : x
  2. Step 2: Convert to fraction form
    83,309/118,731 = 118,731/x
  3. Step 3: Cross multiply
    83,309x = 118,731 × 118,731
  4. Step 4: Simplify right side
    83,309x = 14,097,050,361
  5. Step 5: Solve for x
    x = 14,097,050,361/83,309
  6. Step 6: Final answer
    x = 169,214.01

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.