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Finding the Third Proportional to 30,447.14 and 66,421.27

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Solution

The third proportional to 30,447.14 and 66,421.27 is: 144,899.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,447.14 : 66,421.27 = 66,421.27 : x
  2. Step 2: Convert to fraction form
    30,447.14/66,421.27 = 66,421.27/x
  3. Step 3: Cross multiply
    30,447.14x = 66,421.27 × 66,421.27
  4. Step 4: Simplify right side
    30,447.14x = 4,411,784,527.23
  5. Step 5: Solve for x
    x = 4,411,784,527.23/30,447.14
  6. Step 6: Final answer
    x = 144,899.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.