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Finding the Third Proportional to 488,956.82 and 747,971.09

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Solution

The third proportional to 488,956.82 and 747,971.09 is: 1,144,192.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,956.82 : 747,971.09 = 747,971.09 : x
  2. Step 2: Convert to fraction form
    488,956.82/747,971.09 = 747,971.09/x
  3. Step 3: Cross multiply
    488,956.82x = 747,971.09 × 747,971.09
  4. Step 4: Simplify right side
    488,956.82x = 559,460,745,398.52
  5. Step 5: Solve for x
    x = 559,460,745,398.52/488,956.82
  6. Step 6: Final answer
    x = 1,144,192.55

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.