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Finding the Third Proportional to 340,452 and 538,840

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Solution

The third proportional to 340,452 and 538,840 is: 852,832.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,452 : 538,840 = 538,840 : x
  2. Step 2: Convert to fraction form
    340,452/538,840 = 538,840/x
  3. Step 3: Cross multiply
    340,452x = 538,840 × 538,840
  4. Step 4: Simplify right side
    340,452x = 290,348,545,600
  5. Step 5: Solve for x
    x = 290,348,545,600/340,452
  6. Step 6: Final answer
    x = 852,832.54

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.