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Finding the Third Proportional to 560,239 and 805,366

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Solution

The third proportional to 560,239 and 805,366 is: 1,157,745.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,239 : 805,366 = 805,366 : x
  2. Step 2: Convert to fraction form
    560,239/805,366 = 805,366/x
  3. Step 3: Cross multiply
    560,239x = 805,366 × 805,366
  4. Step 4: Simplify right side
    560,239x = 648,614,393,956
  5. Step 5: Solve for x
    x = 648,614,393,956/560,239
  6. Step 6: Final answer
    x = 1,157,745.88

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.