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Finding the Third Proportional to 533,748 and 1,160,808

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Solution

The third proportional to 533,748 and 1,160,808 is: 2,524,553.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,748 : 1,160,808 = 1,160,808 : x
  2. Step 2: Convert to fraction form
    533,748/1,160,808 = 1,160,808/x
  3. Step 3: Cross multiply
    533,748x = 1,160,808 × 1,160,808
  4. Step 4: Simplify right side
    533,748x = 1,347,475,212,864
  5. Step 5: Solve for x
    x = 1,347,475,212,864/533,748
  6. Step 6: Final answer
    x = 2,524,553.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.