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Finding the Third Proportional to 384,556 and 813,440

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Solution

The third proportional to 384,556 and 813,440 is: 1,720,645.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,556 : 813,440 = 813,440 : x
  2. Step 2: Convert to fraction form
    384,556/813,440 = 813,440/x
  3. Step 3: Cross multiply
    384,556x = 813,440 × 813,440
  4. Step 4: Simplify right side
    384,556x = 661,684,633,600
  5. Step 5: Solve for x
    x = 661,684,633,600/384,556
  6. Step 6: Final answer
    x = 1,720,645.72

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.