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Finding the Third Proportional to 653,991.50 and 981,639

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Solution

The third proportional to 653,991.50 and 981,639 is: 1,473,436.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,991.50 : 981,639 = 981,639 : x
  2. Step 2: Convert to fraction form
    653,991.50/981,639 = 981,639/x
  3. Step 3: Cross multiply
    653,991.50x = 981,639 × 981,639
  4. Step 4: Simplify right side
    653,991.50x = 963,615,126,321
  5. Step 5: Solve for x
    x = 963,615,126,321/653,991.50
  6. Step 6: Final answer
    x = 1,473,436.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.