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Finding the Third Proportional to 415,940 and 901,378

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Solution

The third proportional to 415,940 and 901,378 is: 1,953,364.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,940 : 901,378 = 901,378 : x
  2. Step 2: Convert to fraction form
    415,940/901,378 = 901,378/x
  3. Step 3: Cross multiply
    415,940x = 901,378 × 901,378
  4. Step 4: Simplify right side
    415,940x = 812,482,298,884
  5. Step 5: Solve for x
    x = 812,482,298,884/415,940
  6. Step 6: Final answer
    x = 1,953,364.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.