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Finding the Third Proportional to 513,120 and 804,929

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Solution

The third proportional to 513,120 and 804,929 is: 1,262,688.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,120 : 804,929 = 804,929 : x
  2. Step 2: Convert to fraction form
    513,120/804,929 = 804,929/x
  3. Step 3: Cross multiply
    513,120x = 804,929 × 804,929
  4. Step 4: Simplify right side
    513,120x = 647,910,695,041
  5. Step 5: Solve for x
    x = 647,910,695,041/513,120
  6. Step 6: Final answer
    x = 1,262,688.45

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.