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Finding the Third Proportional to 159,312 and 339,360

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Solution

The third proportional to 159,312 and 339,360 is: 722,890.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,312 : 339,360 = 339,360 : x
  2. Step 2: Convert to fraction form
    159,312/339,360 = 339,360/x
  3. Step 3: Cross multiply
    159,312x = 339,360 × 339,360
  4. Step 4: Simplify right side
    159,312x = 115,165,209,600
  5. Step 5: Solve for x
    x = 115,165,209,600/159,312
  6. Step 6: Final answer
    x = 722,890.99

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.