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Finding the Third Proportional to 135,970 and 291,613

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Solution

The third proportional to 135,970 and 291,613 is: 625,418.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,970 : 291,613 = 291,613 : x
  2. Step 2: Convert to fraction form
    135,970/291,613 = 291,613/x
  3. Step 3: Cross multiply
    135,970x = 291,613 × 291,613
  4. Step 4: Simplify right side
    135,970x = 85,038,141,769
  5. Step 5: Solve for x
    x = 85,038,141,769/135,970
  6. Step 6: Final answer
    x = 625,418.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.