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Finding the Third Proportional to 78,833 and 93,413

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Solution

The third proportional to 78,833 and 93,413 is: 110,689.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,833 : 93,413 = 93,413 : x
  2. Step 2: Convert to fraction form
    78,833/93,413 = 93,413/x
  3. Step 3: Cross multiply
    78,833x = 93,413 × 93,413
  4. Step 4: Simplify right side
    78,833x = 8,725,988,569
  5. Step 5: Solve for x
    x = 8,725,988,569/78,833
  6. Step 6: Final answer
    x = 110,689.54

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.