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Finding the Third Proportional to 349,770 and 540,118

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Solution

The third proportional to 349,770 and 540,118 is: 834,055.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,770 : 540,118 = 540,118 : x
  2. Step 2: Convert to fraction form
    349,770/540,118 = 540,118/x
  3. Step 3: Cross multiply
    349,770x = 540,118 × 540,118
  4. Step 4: Simplify right side
    349,770x = 291,727,453,924
  5. Step 5: Solve for x
    x = 291,727,453,924/349,770
  6. Step 6: Final answer
    x = 834,055.10

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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.