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Finding the Third Proportional to 488,961.56 and 778,032.84

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Solution

The third proportional to 488,961.56 and 778,032.84 is: 1,238,001.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,961.56 : 778,032.84 = 778,032.84 : x
  2. Step 2: Convert to fraction form
    488,961.56/778,032.84 = 778,032.84/x
  3. Step 3: Cross multiply
    488,961.56x = 778,032.84 × 778,032.84
  4. Step 4: Simplify right side
    488,961.56x = 605,335,105,953.71
  5. Step 5: Solve for x
    x = 605,335,105,953.71/488,961.56
  6. Step 6: Final answer
    x = 1,238,001.41

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.