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Finding the Third Proportional to 203,477.63 and 278,830.13

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Solution

The third proportional to 203,477.63 and 278,830.13 is: 382,087.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,477.63 : 278,830.13 = 278,830.13 : x
  2. Step 2: Convert to fraction form
    203,477.63/278,830.13 = 278,830.13/x
  3. Step 3: Cross multiply
    203,477.63x = 278,830.13 × 278,830.13
  4. Step 4: Simplify right side
    203,477.63x = 77,746,238,607.52
  5. Step 5: Solve for x
    x = 77,746,238,607.52/203,477.63
  6. Step 6: Final answer
    x = 382,087.41

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.