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Finding the Third Proportional to 11,970 and 19,547

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Solution

The third proportional to 11,970 and 19,547 is: 31,920.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,970 : 19,547 = 19,547 : x
  2. Step 2: Convert to fraction form
    11,970/19,547 = 19,547/x
  3. Step 3: Cross multiply
    11,970x = 19,547 × 19,547
  4. Step 4: Simplify right side
    11,970x = 382,085,209
  5. Step 5: Solve for x
    x = 382,085,209/11,970
  6. Step 6: Final answer
    x = 31,920.23

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.