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Finding the Third Proportional to 349,721 and 540,079

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Solution

The third proportional to 349,721 and 540,079 is: 834,051.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,721 : 540,079 = 540,079 : x
  2. Step 2: Convert to fraction form
    349,721/540,079 = 540,079/x
  3. Step 3: Cross multiply
    349,721x = 540,079 × 540,079
  4. Step 4: Simplify right side
    349,721x = 291,685,326,241
  5. Step 5: Solve for x
    x = 291,685,326,241/349,721
  6. Step 6: Final answer
    x = 834,051.50

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.