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Finding the Third Proportional to 157,281 and 342,210

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Solution

The third proportional to 157,281 and 342,210 is: 744,576.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,281 : 342,210 = 342,210 : x
  2. Step 2: Convert to fraction form
    157,281/342,210 = 342,210/x
  3. Step 3: Cross multiply
    157,281x = 342,210 × 342,210
  4. Step 4: Simplify right side
    157,281x = 117,107,684,100
  5. Step 5: Solve for x
    x = 117,107,684,100/157,281
  6. Step 6: Final answer
    x = 744,576.17

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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.