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Finding the Third Proportional to 31,430 and 68,409

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Solution

The third proportional to 31,430 and 68,409 is: 148,895.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,430 : 68,409 = 68,409 : x
  2. Step 2: Convert to fraction form
    31,430/68,409 = 68,409/x
  3. Step 3: Cross multiply
    31,430x = 68,409 × 68,409
  4. Step 4: Simplify right side
    31,430x = 4,679,791,281
  5. Step 5: Solve for x
    x = 4,679,791,281/31,430
  6. Step 6: Final answer
    x = 148,895.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.