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Finding the Third Proportional to 820,710 and 1,260,711

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Solution

The third proportional to 820,710 and 1,260,711 is: 1,936,606.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,710 : 1,260,711 = 1,260,711 : x
  2. Step 2: Convert to fraction form
    820,710/1,260,711 = 1,260,711/x
  3. Step 3: Cross multiply
    820,710x = 1,260,711 × 1,260,711
  4. Step 4: Simplify right side
    820,710x = 1,589,392,225,521
  5. Step 5: Solve for x
    x = 1,589,392,225,521/820,710
  6. Step 6: Final answer
    x = 1,936,606.38

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.