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Finding the Third Proportional to 340,480 and 515,460

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Solution

The third proportional to 340,480 and 515,460 is: 780,365.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,480 : 515,460 = 515,460 : x
  2. Step 2: Convert to fraction form
    340,480/515,460 = 515,460/x
  3. Step 3: Cross multiply
    340,480x = 515,460 × 515,460
  4. Step 4: Simplify right side
    340,480x = 265,699,011,600
  5. Step 5: Solve for x
    x = 265,699,011,600/340,480
  6. Step 6: Final answer
    x = 780,365.99

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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.