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Finding the Third Proportional to 203,428 and 314,989

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Solution

The third proportional to 203,428 and 314,989 is: 487,730.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,428 : 314,989 = 314,989 : x
  2. Step 2: Convert to fraction form
    203,428/314,989 = 314,989/x
  3. Step 3: Cross multiply
    203,428x = 314,989 × 314,989
  4. Step 4: Simplify right side
    203,428x = 99,218,070,121
  5. Step 5: Solve for x
    x = 99,218,070,121/203,428
  6. Step 6: Final answer
    x = 487,730.65

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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.