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Finding the Third Proportional to 820,516 and 1,241,708

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Solution

The third proportional to 820,516 and 1,241,708 is: 1,879,108.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,516 : 1,241,708 = 1,241,708 : x
  2. Step 2: Convert to fraction form
    820,516/1,241,708 = 1,241,708/x
  3. Step 3: Cross multiply
    820,516x = 1,241,708 × 1,241,708
  4. Step 4: Simplify right side
    820,516x = 1,541,838,757,264
  5. Step 5: Solve for x
    x = 1,541,838,757,264/820,516
  6. Step 6: Final answer
    x = 1,879,108.70

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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.