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Finding the Third Proportional to 102,699 and 153,360

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Solution

The third proportional to 102,699 and 153,360 is: 229,011.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,699 : 153,360 = 153,360 : x
  2. Step 2: Convert to fraction form
    102,699/153,360 = 153,360/x
  3. Step 3: Cross multiply
    102,699x = 153,360 × 153,360
  4. Step 4: Simplify right side
    102,699x = 23,519,289,600
  5. Step 5: Solve for x
    x = 23,519,289,600/102,699
  6. Step 6: Final answer
    x = 229,011.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.