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Finding the Third Proportional to 349,980 and 540,432

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Solution

The third proportional to 349,980 and 540,432 is: 834,524.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,980 : 540,432 = 540,432 : x
  2. Step 2: Convert to fraction form
    349,980/540,432 = 540,432/x
  3. Step 3: Cross multiply
    349,980x = 540,432 × 540,432
  4. Step 4: Simplify right side
    349,980x = 292,066,746,624
  5. Step 5: Solve for x
    x = 292,066,746,624/349,980
  6. Step 6: Final answer
    x = 834,524.11

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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.