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Finding the Third Proportional to 563,865 and 1,215,759

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Solution

The third proportional to 563,865 and 1,215,759 is: 2,621,318.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,865 : 1,215,759 = 1,215,759 : x
  2. Step 2: Convert to fraction form
    563,865/1,215,759 = 1,215,759/x
  3. Step 3: Cross multiply
    563,865x = 1,215,759 × 1,215,759
  4. Step 4: Simplify right side
    563,865x = 1,478,069,946,081
  5. Step 5: Solve for x
    x = 1,478,069,946,081/563,865
  6. Step 6: Final answer
    x = 2,621,318.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.