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Finding the Third Proportional to 367,820 and 562,420

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Solution

The third proportional to 367,820 and 562,420 is: 859,975.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,820 : 562,420 = 562,420 : x
  2. Step 2: Convert to fraction form
    367,820/562,420 = 562,420/x
  3. Step 3: Cross multiply
    367,820x = 562,420 × 562,420
  4. Step 4: Simplify right side
    367,820x = 316,316,256,400
  5. Step 5: Solve for x
    x = 316,316,256,400/367,820
  6. Step 6: Final answer
    x = 859,975.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.