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Finding the Third Proportional to 30,477.09 and 66,228.05

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Solution

The third proportional to 30,477.09 and 66,228.05 is: 143,916.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,477.09 : 66,228.05 = 66,228.05 : x
  2. Step 2: Convert to fraction form
    30,477.09/66,228.05 = 66,228.05/x
  3. Step 3: Cross multiply
    30,477.09x = 66,228.05 × 66,228.05
  4. Step 4: Simplify right side
    30,477.09x = 4,386,154,192.88
  5. Step 5: Solve for x
    x = 4,386,154,192.88/30,477.09
  6. Step 6: Final answer
    x = 143,916.42

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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.