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Finding the Third Proportional to 21,509 and 46,313

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Solution

The third proportional to 21,509 and 46,313 is: 99,720.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,509 : 46,313 = 46,313 : x
  2. Step 2: Convert to fraction form
    21,509/46,313 = 46,313/x
  3. Step 3: Cross multiply
    21,509x = 46,313 × 46,313
  4. Step 4: Simplify right side
    21,509x = 2,144,893,969
  5. Step 5: Solve for x
    x = 2,144,893,969/21,509
  6. Step 6: Final answer
    x = 99,720.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.