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Finding the Third Proportional to 870,972 and 1,332,378

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Solution

The third proportional to 870,972 and 1,332,378 is: 2,038,218.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,972 : 1,332,378 = 1,332,378 : x
  2. Step 2: Convert to fraction form
    870,972/1,332,378 = 1,332,378/x
  3. Step 3: Cross multiply
    870,972x = 1,332,378 × 1,332,378
  4. Step 4: Simplify right side
    870,972x = 1,775,231,134,884
  5. Step 5: Solve for x
    x = 1,775,231,134,884/870,972
  6. Step 6: Final answer
    x = 2,038,218.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.