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Finding the Third Proportional to 723,469 and 1,528,135

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Solution

The third proportional to 723,469 and 1,528,135 is: 3,227,776.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,469 : 1,528,135 = 1,528,135 : x
  2. Step 2: Convert to fraction form
    723,469/1,528,135 = 1,528,135/x
  3. Step 3: Cross multiply
    723,469x = 1,528,135 × 1,528,135
  4. Step 4: Simplify right side
    723,469x = 2,335,196,578,225
  5. Step 5: Solve for x
    x = 2,335,196,578,225/723,469
  6. Step 6: Final answer
    x = 3,227,776.97

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.