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Finding the Third Proportional to 521,700.75 and 829,887.75

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Solution

The third proportional to 521,700.75 and 829,887.75 is: 1,320,131.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,700.75 : 829,887.75 = 829,887.75 : x
  2. Step 2: Convert to fraction form
    521,700.75/829,887.75 = 829,887.75/x
  3. Step 3: Cross multiply
    521,700.75x = 829,887.75 × 829,887.75
  4. Step 4: Simplify right side
    521,700.75x = 688,713,677,600.06
  5. Step 5: Solve for x
    x = 688,713,677,600.06/521,700.75
  6. Step 6: Final answer
    x = 1,320,131.66

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.