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Finding the Third Proportional to 70,207 and 152,321

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Solution

The third proportional to 70,207 and 152,321 is: 330,475.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,207 : 152,321 = 152,321 : x
  2. Step 2: Convert to fraction form
    70,207/152,321 = 152,321/x
  3. Step 3: Cross multiply
    70,207x = 152,321 × 152,321
  4. Step 4: Simplify right side
    70,207x = 23,201,687,041
  5. Step 5: Solve for x
    x = 23,201,687,041/70,207
  6. Step 6: Final answer
    x = 330,475.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.