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Finding the Third Proportional to 513,380 and 790,118

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Solution

The third proportional to 513,380 and 790,118 is: 1,216,031.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,380 : 790,118 = 790,118 : x
  2. Step 2: Convert to fraction form
    513,380/790,118 = 790,118/x
  3. Step 3: Cross multiply
    513,380x = 790,118 × 790,118
  4. Step 4: Simplify right side
    513,380x = 624,286,453,924
  5. Step 5: Solve for x
    x = 624,286,453,924/513,380
  6. Step 6: Final answer
    x = 1,216,031.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.