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Finding the Third Proportional to 130,612 and 290,408

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Solution

The third proportional to 130,612 and 290,408 is: 645,704.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,612 : 290,408 = 290,408 : x
  2. Step 2: Convert to fraction form
    130,612/290,408 = 290,408/x
  3. Step 3: Cross multiply
    130,612x = 290,408 × 290,408
  4. Step 4: Simplify right side
    130,612x = 84,336,806,464
  5. Step 5: Solve for x
    x = 84,336,806,464/130,612
  6. Step 6: Final answer
    x = 645,704.89

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.