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Finding the Third Proportional to 413,942 and 607,286

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Solution

The third proportional to 413,942 and 607,286 is: 890,937.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,942 : 607,286 = 607,286 : x
  2. Step 2: Convert to fraction form
    413,942/607,286 = 607,286/x
  3. Step 3: Cross multiply
    413,942x = 607,286 × 607,286
  4. Step 4: Simplify right side
    413,942x = 368,796,285,796
  5. Step 5: Solve for x
    x = 368,796,285,796/413,942
  6. Step 6: Final answer
    x = 890,937.10

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.