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Finding the Third Proportional to 208,134.75 and 309,898.13

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Solution

The third proportional to 208,134.75 and 309,898.13 is: 461,416.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,134.75 : 309,898.13 = 309,898.13 : x
  2. Step 2: Convert to fraction form
    208,134.75/309,898.13 = 309,898.13/x
  3. Step 3: Cross multiply
    208,134.75x = 309,898.13 × 309,898.13
  4. Step 4: Simplify right side
    208,134.75x = 96,036,847,878.52
  5. Step 5: Solve for x
    x = 96,036,847,878.52/208,134.75
  6. Step 6: Final answer
    x = 461,416.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.