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Finding the Third Proportional to 128,394 and 299,991

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Solution

The third proportional to 128,394 and 299,991 is: 700,925.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,394 : 299,991 = 299,991 : x
  2. Step 2: Convert to fraction form
    128,394/299,991 = 299,991/x
  3. Step 3: Cross multiply
    128,394x = 299,991 × 299,991
  4. Step 4: Simplify right side
    128,394x = 89,994,600,081
  5. Step 5: Solve for x
    x = 89,994,600,081/128,394
  6. Step 6: Final answer
    x = 700,925.28

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.