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Finding the Third Proportional to 522,074 and 830,729

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Solution

The third proportional to 522,074 and 830,729 is: 1,321,863.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,074 : 830,729 = 830,729 : x
  2. Step 2: Convert to fraction form
    522,074/830,729 = 830,729/x
  3. Step 3: Cross multiply
    522,074x = 830,729 × 830,729
  4. Step 4: Simplify right side
    522,074x = 690,110,671,441
  5. Step 5: Solve for x
    x = 690,110,671,441/522,074
  6. Step 6: Final answer
    x = 1,321,863.70

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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.