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Finding the Third Proportional to 51,854.34 and 78,258.66

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Solution

The third proportional to 51,854.34 and 78,258.66 is: 118,108.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,854.34 : 78,258.66 = 78,258.66 : x
  2. Step 2: Convert to fraction form
    51,854.34/78,258.66 = 78,258.66/x
  3. Step 3: Cross multiply
    51,854.34x = 78,258.66 × 78,258.66
  4. Step 4: Simplify right side
    51,854.34x = 6,124,417,278.06
  5. Step 5: Solve for x
    x = 6,124,417,278.06/51,854.34
  6. Step 6: Final answer
    x = 118,108.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.