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Finding the Third Proportional to 663,442 and 999,942

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Solution

The third proportional to 663,442 and 999,942 is: 1,507,115.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,442 : 999,942 = 999,942 : x
  2. Step 2: Convert to fraction form
    663,442/999,942 = 999,942/x
  3. Step 3: Cross multiply
    663,442x = 999,942 × 999,942
  4. Step 4: Simplify right side
    663,442x = 999,884,003,364
  5. Step 5: Solve for x
    x = 999,884,003,364/663,442
  6. Step 6: Final answer
    x = 1,507,115.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.