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Finding the Third Proportional to 153,074 and 335,686

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Solution

The third proportional to 153,074 and 335,686 is: 736,147.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,074 : 335,686 = 335,686 : x
  2. Step 2: Convert to fraction form
    153,074/335,686 = 335,686/x
  3. Step 3: Cross multiply
    153,074x = 335,686 × 335,686
  4. Step 4: Simplify right side
    153,074x = 112,685,090,596
  5. Step 5: Solve for x
    x = 112,685,090,596/153,074
  6. Step 6: Final answer
    x = 736,147.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.