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Finding the Third Proportional to 340,624 and 515,648

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Solution

The third proportional to 340,624 and 515,648 is: 780,605.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,624 : 515,648 = 515,648 : x
  2. Step 2: Convert to fraction form
    340,624/515,648 = 515,648/x
  3. Step 3: Cross multiply
    340,624x = 515,648 × 515,648
  4. Step 4: Simplify right side
    340,624x = 265,892,859,904
  5. Step 5: Solve for x
    x = 265,892,859,904/340,624
  6. Step 6: Final answer
    x = 780,605.18

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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.