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Finding the Third Proportional to 283,613 and 439,095.50

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Solution

The third proportional to 283,613 and 439,095.50 is: 679,816.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,613 : 439,095.50 = 439,095.50 : x
  2. Step 2: Convert to fraction form
    283,613/439,095.50 = 439,095.50/x
  3. Step 3: Cross multiply
    283,613x = 439,095.50 × 439,095.50
  4. Step 4: Simplify right side
    283,613x = 192,804,858,120.25
  5. Step 5: Solve for x
    x = 192,804,858,120.25/283,613
  6. Step 6: Final answer
    x = 679,816.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.