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Finding the Third Proportional to 349,749 and 540,080

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Solution

The third proportional to 349,749 and 540,080 is: 833,987.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,749 : 540,080 = 540,080 : x
  2. Step 2: Convert to fraction form
    349,749/540,080 = 540,080/x
  3. Step 3: Cross multiply
    349,749x = 540,080 × 540,080
  4. Step 4: Simplify right side
    349,749x = 291,686,406,400
  5. Step 5: Solve for x
    x = 291,686,406,400/349,749
  6. Step 6: Final answer
    x = 833,987.82

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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.