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Finding the Third Proportional to 407,356 and 616,276

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Solution

The third proportional to 407,356 and 616,276 is: 932,344.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,356 : 616,276 = 616,276 : x
  2. Step 2: Convert to fraction form
    407,356/616,276 = 616,276/x
  3. Step 3: Cross multiply
    407,356x = 616,276 × 616,276
  4. Step 4: Simplify right side
    407,356x = 379,796,108,176
  5. Step 5: Solve for x
    x = 379,796,108,176/407,356
  6. Step 6: Final answer
    x = 932,344.46

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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.