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Finding the Third Proportional to 340,588 and 515,598

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Solution

The third proportional to 340,588 and 515,598 is: 780,536.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,588 : 515,598 = 515,598 : x
  2. Step 2: Convert to fraction form
    340,588/515,598 = 515,598/x
  3. Step 3: Cross multiply
    340,588x = 515,598 × 515,598
  4. Step 4: Simplify right side
    340,588x = 265,841,297,604
  5. Step 5: Solve for x
    x = 265,841,297,604/340,588
  6. Step 6: Final answer
    x = 780,536.30

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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.