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Finding the Third Proportional to 19,280 and 28,312

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Solution

The third proportional to 19,280 and 28,312 is: 41,575.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,280 : 28,312 = 28,312 : x
  2. Step 2: Convert to fraction form
    19,280/28,312 = 28,312/x
  3. Step 3: Cross multiply
    19,280x = 28,312 × 28,312
  4. Step 4: Simplify right side
    19,280x = 801,569,344
  5. Step 5: Solve for x
    x = 801,569,344/19,280
  6. Step 6: Final answer
    x = 41,575.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.