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Finding the Third Proportional to 30,559 and 63,089

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Solution

The third proportional to 30,559 and 63,089 is: 130,247.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,559 : 63,089 = 63,089 : x
  2. Step 2: Convert to fraction form
    30,559/63,089 = 63,089/x
  3. Step 3: Cross multiply
    30,559x = 63,089 × 63,089
  4. Step 4: Simplify right side
    30,559x = 3,980,221,921
  5. Step 5: Solve for x
    x = 3,980,221,921/30,559
  6. Step 6: Final answer
    x = 130,247.13

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.