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Finding the Third Proportional to 415,820 and 912,832

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Solution

The third proportional to 415,820 and 912,832 is: 2,003,901.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,820 : 912,832 = 912,832 : x
  2. Step 2: Convert to fraction form
    415,820/912,832 = 912,832/x
  3. Step 3: Cross multiply
    415,820x = 912,832 × 912,832
  4. Step 4: Simplify right side
    415,820x = 833,262,260,224
  5. Step 5: Solve for x
    x = 833,262,260,224/415,820
  6. Step 6: Final answer
    x = 2,003,901.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.