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Finding the Third Proportional to 336,585 and 720,460

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Solution

The third proportional to 336,585 and 720,460 is: 1,542,144.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,585 : 720,460 = 720,460 : x
  2. Step 2: Convert to fraction form
    336,585/720,460 = 720,460/x
  3. Step 3: Cross multiply
    336,585x = 720,460 × 720,460
  4. Step 4: Simplify right side
    336,585x = 519,062,611,600
  5. Step 5: Solve for x
    x = 519,062,611,600/336,585
  6. Step 6: Final answer
    x = 1,542,144.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.