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Finding the Third Proportional to 269,095.50 and 420,018.75

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Solution

The third proportional to 269,095.50 and 420,018.75 is: 655,587.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,095.50 : 420,018.75 = 420,018.75 : x
  2. Step 2: Convert to fraction form
    269,095.50/420,018.75 = 420,018.75/x
  3. Step 3: Cross multiply
    269,095.50x = 420,018.75 × 420,018.75
  4. Step 4: Simplify right side
    269,095.50x = 176,415,750,351.56
  5. Step 5: Solve for x
    x = 176,415,750,351.56/269,095.50
  6. Step 6: Final answer
    x = 655,587.89

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.