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Finding the Third Proportional to 157,860 and 330,312

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Solution

The third proportional to 157,860 and 330,312 is: 691,156.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,860 : 330,312 = 330,312 : x
  2. Step 2: Convert to fraction form
    157,860/330,312 = 330,312/x
  3. Step 3: Cross multiply
    157,860x = 330,312 × 330,312
  4. Step 4: Simplify right side
    157,860x = 109,106,017,344
  5. Step 5: Solve for x
    x = 109,106,017,344/157,860
  6. Step 6: Final answer
    x = 691,156.83

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.