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Finding the Third Proportional to 386,516 and 562,980

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Solution

The third proportional to 386,516 and 562,980 is: 820,008.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,516 : 562,980 = 562,980 : x
  2. Step 2: Convert to fraction form
    386,516/562,980 = 562,980/x
  3. Step 3: Cross multiply
    386,516x = 562,980 × 562,980
  4. Step 4: Simplify right side
    386,516x = 316,946,480,400
  5. Step 5: Solve for x
    x = 316,946,480,400/386,516
  6. Step 6: Final answer
    x = 820,008.69

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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.