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Finding the Third Proportional to 253,479 and 553,702

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Solution

The third proportional to 253,479 and 553,702 is: 1,209,512.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,479 : 553,702 = 553,702 : x
  2. Step 2: Convert to fraction form
    253,479/553,702 = 553,702/x
  3. Step 3: Cross multiply
    253,479x = 553,702 × 553,702
  4. Step 4: Simplify right side
    253,479x = 306,585,904,804
  5. Step 5: Solve for x
    x = 306,585,904,804/253,479
  6. Step 6: Final answer
    x = 1,209,512.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.