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Finding the Third Proportional to 658,470 and 996,921

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Solution

The third proportional to 658,470 and 996,921 is: 1,509,334.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,470 : 996,921 = 996,921 : x
  2. Step 2: Convert to fraction form
    658,470/996,921 = 996,921/x
  3. Step 3: Cross multiply
    658,470x = 996,921 × 996,921
  4. Step 4: Simplify right side
    658,470x = 993,851,480,241
  5. Step 5: Solve for x
    x = 993,851,480,241/658,470
  6. Step 6: Final answer
    x = 1,509,334.49

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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.