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Finding the Third Proportional to 334,478 and 720,148

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Solution

The third proportional to 334,478 and 720,148 is: 1,550,514.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,478 : 720,148 = 720,148 : x
  2. Step 2: Convert to fraction form
    334,478/720,148 = 720,148/x
  3. Step 3: Cross multiply
    334,478x = 720,148 × 720,148
  4. Step 4: Simplify right side
    334,478x = 518,613,141,904
  5. Step 5: Solve for x
    x = 518,613,141,904/334,478
  6. Step 6: Final answer
    x = 1,550,514.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.