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Finding the Third Proportional to 30,454 and 47,129

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Solution

The third proportional to 30,454 and 47,129 is: 72,934.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,454 : 47,129 = 47,129 : x
  2. Step 2: Convert to fraction form
    30,454/47,129 = 47,129/x
  3. Step 3: Cross multiply
    30,454x = 47,129 × 47,129
  4. Step 4: Simplify right side
    30,454x = 2,221,142,641
  5. Step 5: Solve for x
    x = 2,221,142,641/30,454
  6. Step 6: Final answer
    x = 72,934.35

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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.