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Finding the Third Proportional to 157,688 and 344,512

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Solution

The third proportional to 157,688 and 344,512 is: 752,679.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,688 : 344,512 = 344,512 : x
  2. Step 2: Convert to fraction form
    157,688/344,512 = 344,512/x
  3. Step 3: Cross multiply
    157,688x = 344,512 × 344,512
  4. Step 4: Simplify right side
    157,688x = 118,688,518,144
  5. Step 5: Solve for x
    x = 118,688,518,144/157,688
  6. Step 6: Final answer
    x = 752,679.46

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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.