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Finding the Third Proportional to 407,356.50 and 616,278

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Solution

The third proportional to 407,356.50 and 616,278 is: 932,349.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,356.50 : 616,278 = 616,278 : x
  2. Step 2: Convert to fraction form
    407,356.50/616,278 = 616,278/x
  3. Step 3: Cross multiply
    407,356.50x = 616,278 × 616,278
  4. Step 4: Simplify right side
    407,356.50x = 379,798,573,284
  5. Step 5: Solve for x
    x = 379,798,573,284/407,356.50
  6. Step 6: Final answer
    x = 932,349.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.