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Finding the Third Proportional to 309,758 and 455,564

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Solution

The third proportional to 309,758 and 455,564 is: 670,002.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,758 : 455,564 = 455,564 : x
  2. Step 2: Convert to fraction form
    309,758/455,564 = 455,564/x
  3. Step 3: Cross multiply
    309,758x = 455,564 × 455,564
  4. Step 4: Simplify right side
    309,758x = 207,538,558,096
  5. Step 5: Solve for x
    x = 207,538,558,096/309,758
  6. Step 6: Final answer
    x = 670,002.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.