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Finding the Third Proportional to 521,705 and 829,894

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Solution

The third proportional to 521,705 and 829,894 is: 1,320,140.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,705 : 829,894 = 829,894 : x
  2. Step 2: Convert to fraction form
    521,705/829,894 = 829,894/x
  3. Step 3: Cross multiply
    521,705x = 829,894 × 829,894
  4. Step 4: Simplify right side
    521,705x = 688,724,051,236
  5. Step 5: Solve for x
    x = 688,724,051,236/521,705
  6. Step 6: Final answer
    x = 1,320,140.79

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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.