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Finding the Third Proportional to 535,840 and 729,724

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Solution

The third proportional to 535,840 and 729,724 is: 993,761.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,840 : 729,724 = 729,724 : x
  2. Step 2: Convert to fraction form
    535,840/729,724 = 729,724/x
  3. Step 3: Cross multiply
    535,840x = 729,724 × 729,724
  4. Step 4: Simplify right side
    535,840x = 532,497,116,176
  5. Step 5: Solve for x
    x = 532,497,116,176/535,840
  6. Step 6: Final answer
    x = 993,761.41

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.