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Finding the Third Proportional to 550,703 and 857,465

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Solution

The third proportional to 550,703 and 857,465 is: 1,335,104.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,703 : 857,465 = 857,465 : x
  2. Step 2: Convert to fraction form
    550,703/857,465 = 857,465/x
  3. Step 3: Cross multiply
    550,703x = 857,465 × 857,465
  4. Step 4: Simplify right side
    550,703x = 735,246,226,225
  5. Step 5: Solve for x
    x = 735,246,226,225/550,703
  6. Step 6: Final answer
    x = 1,335,104.81

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.