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Finding the Third Proportional to 413,945 and 607,284

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Solution

The third proportional to 413,945 and 607,284 is: 890,924.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,945 : 607,284 = 607,284 : x
  2. Step 2: Convert to fraction form
    413,945/607,284 = 607,284/x
  3. Step 3: Cross multiply
    413,945x = 607,284 × 607,284
  4. Step 4: Simplify right side
    413,945x = 368,793,856,656
  5. Step 5: Solve for x
    x = 368,793,856,656/413,945
  6. Step 6: Final answer
    x = 890,924.78

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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.