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Finding the Third Proportional to 553,617 and 1,203,280

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Solution

The third proportional to 553,617 and 1,203,280 is: 2,615,314.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,617 : 1,203,280 = 1,203,280 : x
  2. Step 2: Convert to fraction form
    553,617/1,203,280 = 1,203,280/x
  3. Step 3: Cross multiply
    553,617x = 1,203,280 × 1,203,280
  4. Step 4: Simplify right side
    553,617x = 1,447,882,758,400
  5. Step 5: Solve for x
    x = 1,447,882,758,400/553,617
  6. Step 6: Final answer
    x = 2,615,314.84

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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.