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Finding the Third Proportional to 30,780 and 47,754

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Solution

The third proportional to 30,780 and 47,754 is: 74,088.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,780 : 47,754 = 47,754 : x
  2. Step 2: Convert to fraction form
    30,780/47,754 = 47,754/x
  3. Step 3: Cross multiply
    30,780x = 47,754 × 47,754
  4. Step 4: Simplify right side
    30,780x = 2,280,444,516
  5. Step 5: Solve for x
    x = 2,280,444,516/30,780
  6. Step 6: Final answer
    x = 74,088.52

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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.