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Finding the Third Proportional to 643,792 and 958,074

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Solution

The third proportional to 643,792 and 958,074 is: 1,425,780.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,792 : 958,074 = 958,074 : x
  2. Step 2: Convert to fraction form
    643,792/958,074 = 958,074/x
  3. Step 3: Cross multiply
    643,792x = 958,074 × 958,074
  4. Step 4: Simplify right side
    643,792x = 917,905,789,476
  5. Step 5: Solve for x
    x = 917,905,789,476/643,792
  6. Step 6: Final answer
    x = 1,425,780.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.