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Finding the Third Proportional to 980,544 and 1,387,520

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Solution

The third proportional to 980,544 and 1,387,520 is: 1,963,411.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    980,544 : 1,387,520 = 1,387,520 : x
  2. Step 2: Convert to fraction form
    980,544/1,387,520 = 1,387,520/x
  3. Step 3: Cross multiply
    980,544x = 1,387,520 × 1,387,520
  4. Step 4: Simplify right side
    980,544x = 1,925,211,750,400
  5. Step 5: Solve for x
    x = 1,925,211,750,400/980,544
  6. Step 6: Final answer
    x = 1,963,411.89

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.