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Finding the Third Proportional to 203,426 and 314,986

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Solution

The third proportional to 203,426 and 314,986 is: 487,726.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,426 : 314,986 = 314,986 : x
  2. Step 2: Convert to fraction form
    203,426/314,986 = 314,986/x
  3. Step 3: Cross multiply
    203,426x = 314,986 × 314,986
  4. Step 4: Simplify right side
    203,426x = 99,216,180,196
  5. Step 5: Solve for x
    x = 99,216,180,196/203,426
  6. Step 6: Final answer
    x = 487,726.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.