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Finding the Third Proportional to 340,614 and 515,637

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Solution

The third proportional to 340,614 and 515,637 is: 780,594.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,614 : 515,637 = 515,637 : x
  2. Step 2: Convert to fraction form
    340,614/515,637 = 515,637/x
  3. Step 3: Cross multiply
    340,614x = 515,637 × 515,637
  4. Step 4: Simplify right side
    340,614x = 265,881,515,769
  5. Step 5: Solve for x
    x = 265,881,515,769/340,614
  6. Step 6: Final answer
    x = 780,594.80

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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.