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Finding the Third Proportional to 100,770 and 152,289

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Solution

The third proportional to 100,770 and 152,289 is: 230,147.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,770 : 152,289 = 152,289 : x
  2. Step 2: Convert to fraction form
    100,770/152,289 = 152,289/x
  3. Step 3: Cross multiply
    100,770x = 152,289 × 152,289
  4. Step 4: Simplify right side
    100,770x = 23,191,939,521
  5. Step 5: Solve for x
    x = 23,191,939,521/100,770
  6. Step 6: Final answer
    x = 230,147.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.