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Finding the Third Proportional to 696,875 and 981,385

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Solution

The third proportional to 696,875 and 981,385 is: 1,382,050.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,875 : 981,385 = 981,385 : x
  2. Step 2: Convert to fraction form
    696,875/981,385 = 981,385/x
  3. Step 3: Cross multiply
    696,875x = 981,385 × 981,385
  4. Step 4: Simplify right side
    696,875x = 963,116,518,225
  5. Step 5: Solve for x
    x = 963,116,518,225/696,875
  6. Step 6: Final answer
    x = 1,382,050.61

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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.