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Finding the Third Proportional to 270,486 and 421,036.50

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Solution

The third proportional to 270,486 and 421,036.50 is: 655,382.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,486 : 421,036.50 = 421,036.50 : x
  2. Step 2: Convert to fraction form
    270,486/421,036.50 = 421,036.50/x
  3. Step 3: Cross multiply
    270,486x = 421,036.50 × 421,036.50
  4. Step 4: Simplify right side
    270,486x = 177,271,734,332.25
  5. Step 5: Solve for x
    x = 177,271,734,332.25/270,486
  6. Step 6: Final answer
    x = 655,382.29

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.