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Finding the Third Proportional to 334,137 and 720,438

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Solution

The third proportional to 334,137 and 720,438 is: 1,553,347.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,137 : 720,438 = 720,438 : x
  2. Step 2: Convert to fraction form
    334,137/720,438 = 720,438/x
  3. Step 3: Cross multiply
    334,137x = 720,438 × 720,438
  4. Step 4: Simplify right side
    334,137x = 519,030,911,844
  5. Step 5: Solve for x
    x = 519,030,911,844/334,137
  6. Step 6: Final answer
    x = 1,553,347.61

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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.