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Finding the Third Proportional to 535,720 and 727,572

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Solution

The third proportional to 535,720 and 727,572 is: 988,130.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,720 : 727,572 = 727,572 : x
  2. Step 2: Convert to fraction form
    535,720/727,572 = 727,572/x
  3. Step 3: Cross multiply
    535,720x = 727,572 × 727,572
  4. Step 4: Simplify right side
    535,720x = 529,361,015,184
  5. Step 5: Solve for x
    x = 529,361,015,184/535,720
  6. Step 6: Final answer
    x = 988,130.02

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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.