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Finding the Third Proportional to 307,488 and 467,520

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Solution

The third proportional to 307,488 and 467,520 is: 710,840.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,488 : 467,520 = 467,520 : x
  2. Step 2: Convert to fraction form
    307,488/467,520 = 467,520/x
  3. Step 3: Cross multiply
    307,488x = 467,520 × 467,520
  4. Step 4: Simplify right side
    307,488x = 218,574,950,400
  5. Step 5: Solve for x
    x = 218,574,950,400/307,488
  6. Step 6: Final answer
    x = 710,840.59

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.