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Finding the Third Proportional to 387,088 and 836,455

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Solution

The third proportional to 387,088 and 836,455 is: 1,807,488.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,088 : 836,455 = 836,455 : x
  2. Step 2: Convert to fraction form
    387,088/836,455 = 836,455/x
  3. Step 3: Cross multiply
    387,088x = 836,455 × 836,455
  4. Step 4: Simplify right side
    387,088x = 699,656,967,025
  5. Step 5: Solve for x
    x = 699,656,967,025/387,088
  6. Step 6: Final answer
    x = 1,807,488.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.