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Finding the Third Proportional to 334,148 and 720,458

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Solution

The third proportional to 334,148 and 720,458 is: 1,553,382.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,148 : 720,458 = 720,458 : x
  2. Step 2: Convert to fraction form
    334,148/720,458 = 720,458/x
  3. Step 3: Cross multiply
    334,148x = 720,458 × 720,458
  4. Step 4: Simplify right side
    334,148x = 519,059,729,764
  5. Step 5: Solve for x
    x = 519,059,729,764/334,148
  6. Step 6: Final answer
    x = 1,553,382.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.