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Finding the Third Proportional to 170,070 and 251,211

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Solution

The third proportional to 170,070 and 251,211 is: 371,064.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,070 : 251,211 = 251,211 : x
  2. Step 2: Convert to fraction form
    170,070/251,211 = 251,211/x
  3. Step 3: Cross multiply
    170,070x = 251,211 × 251,211
  4. Step 4: Simplify right side
    170,070x = 63,106,966,521
  5. Step 5: Solve for x
    x = 63,106,966,521/170,070
  6. Step 6: Final answer
    x = 371,064.66

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.