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Finding the Third Proportional to 309,768 and 455,576

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Solution

The third proportional to 309,768 and 455,576 is: 670,015.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,768 : 455,576 = 455,576 : x
  2. Step 2: Convert to fraction form
    309,768/455,576 = 455,576/x
  3. Step 3: Cross multiply
    309,768x = 455,576 × 455,576
  4. Step 4: Simplify right side
    309,768x = 207,549,491,776
  5. Step 5: Solve for x
    x = 207,549,491,776/309,768
  6. Step 6: Final answer
    x = 670,015.92

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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.