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Finding the Third Proportional to 44,688 and 69,129

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Solution

The third proportional to 44,688 and 69,129 is: 106,937.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,688 : 69,129 = 69,129 : x
  2. Step 2: Convert to fraction form
    44,688/69,129 = 69,129/x
  3. Step 3: Cross multiply
    44,688x = 69,129 × 69,129
  4. Step 4: Simplify right side
    44,688x = 4,778,818,641
  5. Step 5: Solve for x
    x = 4,778,818,641/44,688
  6. Step 6: Final answer
    x = 106,937.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.