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Finding the Third Proportional to 12,970.50 and 29,309

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Solution

The third proportional to 12,970.50 and 29,309 is: 66,228.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,970.50 : 29,309 = 29,309 : x
  2. Step 2: Convert to fraction form
    12,970.50/29,309 = 29,309/x
  3. Step 3: Cross multiply
    12,970.50x = 29,309 × 29,309
  4. Step 4: Simplify right side
    12,970.50x = 859,017,481
  5. Step 5: Solve for x
    x = 859,017,481/12,970.50
  6. Step 6: Final answer
    x = 66,228.56

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.