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Finding the Third Proportional to 696,878.50 and 981,390.50

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Solution

The third proportional to 696,878.50 and 981,390.50 is: 1,382,059.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,878.50 : 981,390.50 = 981,390.50 : x
  2. Step 2: Convert to fraction form
    696,878.50/981,390.50 = 981,390.50/x
  3. Step 3: Cross multiply
    696,878.50x = 981,390.50 × 981,390.50
  4. Step 4: Simplify right side
    696,878.50x = 963,127,313,490.25
  5. Step 5: Solve for x
    x = 963,127,313,490.25/696,878.50
  6. Step 6: Final answer
    x = 1,382,059.16

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.