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Finding the Third Proportional to 387,087 and 616,343

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Solution

The third proportional to 387,087 and 616,343 is: 981,378.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,087 : 616,343 = 616,343 : x
  2. Step 2: Convert to fraction form
    387,087/616,343 = 616,343/x
  3. Step 3: Cross multiply
    387,087x = 616,343 × 616,343
  4. Step 4: Simplify right side
    387,087x = 379,878,693,649
  5. Step 5: Solve for x
    x = 379,878,693,649/387,087
  6. Step 6: Final answer
    x = 981,378.07

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.