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Finding the Third Proportional to 340,488 and 515,466

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Solution

The third proportional to 340,488 and 515,466 is: 780,365.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,488 : 515,466 = 515,466 : x
  2. Step 2: Convert to fraction form
    340,488/515,466 = 515,466/x
  3. Step 3: Cross multiply
    340,488x = 515,466 × 515,466
  4. Step 4: Simplify right side
    340,488x = 265,705,197,156
  5. Step 5: Solve for x
    x = 265,705,197,156/340,488
  6. Step 6: Final answer
    x = 780,365.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.