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Finding the Third Proportional to 534,768 and 802,257

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Solution

The third proportional to 534,768 and 802,257 is: 1,203,543.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,768 : 802,257 = 802,257 : x
  2. Step 2: Convert to fraction form
    534,768/802,257 = 802,257/x
  3. Step 3: Cross multiply
    534,768x = 802,257 × 802,257
  4. Step 4: Simplify right side
    534,768x = 643,616,294,049
  5. Step 5: Solve for x
    x = 643,616,294,049/534,768
  6. Step 6: Final answer
    x = 1,203,543.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.