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Finding the Third Proportional to 172,434 and 266,031.75

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Solution

The third proportional to 172,434 and 266,031.75 is: 410,434.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,434 : 266,031.75 = 266,031.75 : x
  2. Step 2: Convert to fraction form
    172,434/266,031.75 = 266,031.75/x
  3. Step 3: Cross multiply
    172,434x = 266,031.75 × 266,031.75
  4. Step 4: Simplify right side
    172,434x = 70,772,892,008.06
  5. Step 5: Solve for x
    x = 70,772,892,008.06/172,434
  6. Step 6: Final answer
    x = 410,434.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.