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Finding the Third Proportional to 387,944 and 583,356

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Solution

The third proportional to 387,944 and 583,356 is: 877,199.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,944 : 583,356 = 583,356 : x
  2. Step 2: Convert to fraction form
    387,944/583,356 = 583,356/x
  3. Step 3: Cross multiply
    387,944x = 583,356 × 583,356
  4. Step 4: Simplify right side
    387,944x = 340,304,222,736
  5. Step 5: Solve for x
    x = 340,304,222,736/387,944
  6. Step 6: Final answer
    x = 877,199.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.