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Finding the Third Proportional to 431,510 and 669,985

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Solution

The third proportional to 431,510 and 669,985 is: 1,040,253.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,510 : 669,985 = 669,985 : x
  2. Step 2: Convert to fraction form
    431,510/669,985 = 669,985/x
  3. Step 3: Cross multiply
    431,510x = 669,985 × 669,985
  4. Step 4: Simplify right side
    431,510x = 448,879,900,225
  5. Step 5: Solve for x
    x = 448,879,900,225/431,510
  6. Step 6: Final answer
    x = 1,040,253.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.