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Finding the Third Proportional to 472,578 and 1,010,765

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Solution

The third proportional to 472,578 and 1,010,765 is: 2,161,856.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,578 : 1,010,765 = 1,010,765 : x
  2. Step 2: Convert to fraction form
    472,578/1,010,765 = 1,010,765/x
  3. Step 3: Cross multiply
    472,578x = 1,010,765 × 1,010,765
  4. Step 4: Simplify right side
    472,578x = 1,021,645,885,225
  5. Step 5: Solve for x
    x = 1,021,645,885,225/472,578
  6. Step 6: Final answer
    x = 2,161,856.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.