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Finding the Third Proportional to 30,030 and 69,513

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Solution

The third proportional to 30,030 and 69,513 is: 160,907.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,030 : 69,513 = 69,513 : x
  2. Step 2: Convert to fraction form
    30,030/69,513 = 69,513/x
  3. Step 3: Cross multiply
    30,030x = 69,513 × 69,513
  4. Step 4: Simplify right side
    30,030x = 4,832,057,169
  5. Step 5: Solve for x
    x = 4,832,057,169/30,030
  6. Step 6: Final answer
    x = 160,907.66

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.