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Finding the Third Proportional to 384,818 and 562,331

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Solution

The third proportional to 384,818 and 562,331 is: 821,729.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,818 : 562,331 = 562,331 : x
  2. Step 2: Convert to fraction form
    384,818/562,331 = 562,331/x
  3. Step 3: Cross multiply
    384,818x = 562,331 × 562,331
  4. Step 4: Simplify right side
    384,818x = 316,216,153,561
  5. Step 5: Solve for x
    x = 316,216,153,561/384,818
  6. Step 6: Final answer
    x = 821,729.11

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.