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Finding the Third Proportional to 399,953 and 562,507

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Solution

The third proportional to 399,953 and 562,507 is: 791,128.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,953 : 562,507 = 562,507 : x
  2. Step 2: Convert to fraction form
    399,953/562,507 = 562,507/x
  3. Step 3: Cross multiply
    399,953x = 562,507 × 562,507
  4. Step 4: Simplify right side
    399,953x = 316,414,125,049
  5. Step 5: Solve for x
    x = 316,414,125,049/399,953
  6. Step 6: Final answer
    x = 791,128.27

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.