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Finding the Third Proportional to 30,777.47 and 66,828.80

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Solution

The third proportional to 30,777.47 and 66,828.80 is: 145,109.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,777.47 : 66,828.80 = 66,828.80 : x
  2. Step 2: Convert to fraction form
    30,777.47/66,828.80 = 66,828.80/x
  3. Step 3: Cross multiply
    30,777.47x = 66,828.80 × 66,828.80
  4. Step 4: Simplify right side
    30,777.47x = 4,466,088,091.76
  5. Step 5: Solve for x
    x = 4,466,088,091.76/30,777.47
  6. Step 6: Final answer
    x = 145,109.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.