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Finding the Third Proportional to 814,454 and 1,242,747

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Solution

The third proportional to 814,454 and 1,242,747 is: 1,896,264.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,454 : 1,242,747 = 1,242,747 : x
  2. Step 2: Convert to fraction form
    814,454/1,242,747 = 1,242,747/x
  3. Step 3: Cross multiply
    814,454x = 1,242,747 × 1,242,747
  4. Step 4: Simplify right side
    814,454x = 1,544,420,106,009
  5. Step 5: Solve for x
    x = 1,544,420,106,009/814,454
  6. Step 6: Final answer
    x = 1,896,264.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.