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Finding the Third Proportional to 399,942 and 562,490

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Solution

The third proportional to 399,942 and 562,490 is: 791,102.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,942 : 562,490 = 562,490 : x
  2. Step 2: Convert to fraction form
    399,942/562,490 = 562,490/x
  3. Step 3: Cross multiply
    399,942x = 562,490 × 562,490
  4. Step 4: Simplify right side
    399,942x = 316,395,000,100
  5. Step 5: Solve for x
    x = 316,395,000,100/399,942
  6. Step 6: Final answer
    x = 791,102.21

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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.