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Finding the Third Proportional to 421,111.13 and 913,165.88

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Solution

The third proportional to 421,111.13 and 913,165.88 is: 1,980,170.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,111.13 : 913,165.88 = 913,165.88 : x
  2. Step 2: Convert to fraction form
    421,111.13/913,165.88 = 913,165.88/x
  3. Step 3: Cross multiply
    421,111.13x = 913,165.88 × 913,165.88
  4. Step 4: Simplify right side
    421,111.13x = 833,871,915,264.52
  5. Step 5: Solve for x
    x = 833,871,915,264.52/421,111.13
  6. Step 6: Final answer
    x = 1,980,170.71

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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.