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Finding the Third Proportional to 157,310 and 342,264

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Solution

The third proportional to 157,310 and 342,264 is: 744,673.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,310 : 342,264 = 342,264 : x
  2. Step 2: Convert to fraction form
    157,310/342,264 = 342,264/x
  3. Step 3: Cross multiply
    157,310x = 342,264 × 342,264
  4. Step 4: Simplify right side
    157,310x = 117,144,645,696
  5. Step 5: Solve for x
    x = 117,144,645,696/157,310
  6. Step 6: Final answer
    x = 744,673.86

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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.