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Finding the Third Proportional to 30,630 and 63,228

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Solution

The third proportional to 30,630 and 63,228 is: 130,518.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,630 : 63,228 = 63,228 : x
  2. Step 2: Convert to fraction form
    30,630/63,228 = 63,228/x
  3. Step 3: Cross multiply
    30,630x = 63,228 × 63,228
  4. Step 4: Simplify right side
    30,630x = 3,997,779,984
  5. Step 5: Solve for x
    x = 3,997,779,984/30,630
  6. Step 6: Final answer
    x = 130,518.45

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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.