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Finding the Third Proportional to 30,657.75 and 47,489.63

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Solution

The third proportional to 30,657.75 and 47,489.63 is: 73,562.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,657.75 : 47,489.63 = 47,489.63 : x
  2. Step 2: Convert to fraction form
    30,657.75/47,489.63 = 47,489.63/x
  3. Step 3: Cross multiply
    30,657.75x = 47,489.63 × 47,489.63
  4. Step 4: Simplify right side
    30,657.75x = 2,255,264,482.64
  5. Step 5: Solve for x
    x = 2,255,264,482.64/30,657.75
  6. Step 6: Final answer
    x = 73,562.62

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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.