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Finding the Third Proportional to 14,807 and 21,513

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Solution

The third proportional to 14,807 and 21,513 is: 31,256.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,807 : 21,513 = 21,513 : x
  2. Step 2: Convert to fraction form
    14,807/21,513 = 21,513/x
  3. Step 3: Cross multiply
    14,807x = 21,513 × 21,513
  4. Step 4: Simplify right side
    14,807x = 462,809,169
  5. Step 5: Solve for x
    x = 462,809,169/14,807
  6. Step 6: Final answer
    x = 31,256.11

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.