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Finding the Third Proportional to 19,312 and 28,722

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Solution

The third proportional to 19,312 and 28,722 is: 42,717.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,312 : 28,722 = 28,722 : x
  2. Step 2: Convert to fraction form
    19,312/28,722 = 28,722/x
  3. Step 3: Cross multiply
    19,312x = 28,722 × 28,722
  4. Step 4: Simplify right side
    19,312x = 824,953,284
  5. Step 5: Solve for x
    x = 824,953,284/19,312
  6. Step 6: Final answer
    x = 42,717.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.