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Finding the Third Proportional to 245,612 and 379,272

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Solution

The third proportional to 245,612 and 379,272 is: 585,668.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,612 : 379,272 = 379,272 : x
  2. Step 2: Convert to fraction form
    245,612/379,272 = 379,272/x
  3. Step 3: Cross multiply
    245,612x = 379,272 × 379,272
  4. Step 4: Simplify right side
    245,612x = 143,847,249,984
  5. Step 5: Solve for x
    x = 143,847,249,984/245,612
  6. Step 6: Final answer
    x = 585,668.66

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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.