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Finding the Third Proportional to 19,420 and 29,147

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Solution

The third proportional to 19,420 and 29,147 is: 43,746.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,420 : 29,147 = 29,147 : x
  2. Step 2: Convert to fraction form
    19,420/29,147 = 29,147/x
  3. Step 3: Cross multiply
    19,420x = 29,147 × 29,147
  4. Step 4: Simplify right side
    19,420x = 849,547,609
  5. Step 5: Solve for x
    x = 849,547,609/19,420
  6. Step 6: Final answer
    x = 43,746.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.