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Finding the Third Proportional to 563,918 and 1,215,853

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Solution

The third proportional to 563,918 and 1,215,853 is: 2,621,477.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,918 : 1,215,853 = 1,215,853 : x
  2. Step 2: Convert to fraction form
    563,918/1,215,853 = 1,215,853/x
  3. Step 3: Cross multiply
    563,918x = 1,215,853 × 1,215,853
  4. Step 4: Simplify right side
    563,918x = 1,478,298,517,609
  5. Step 5: Solve for x
    x = 1,478,298,517,609/563,918
  6. Step 6: Final answer
    x = 2,621,477.80

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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.