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Finding the Third Proportional to 413,942 and 607,285

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Solution

The third proportional to 413,942 and 607,285 is: 890,934.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,942 : 607,285 = 607,285 : x
  2. Step 2: Convert to fraction form
    413,942/607,285 = 607,285/x
  3. Step 3: Cross multiply
    413,942x = 607,285 × 607,285
  4. Step 4: Simplify right side
    413,942x = 368,795,071,225
  5. Step 5: Solve for x
    x = 368,795,071,225/413,942
  6. Step 6: Final answer
    x = 890,934.17

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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.