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Finding the Third Proportional to 360,678 and 562,853

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Solution

The third proportional to 360,678 and 562,853 is: 878,355.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,678 : 562,853 = 562,853 : x
  2. Step 2: Convert to fraction form
    360,678/562,853 = 562,853/x
  3. Step 3: Cross multiply
    360,678x = 562,853 × 562,853
  4. Step 4: Simplify right side
    360,678x = 316,803,499,609
  5. Step 5: Solve for x
    x = 316,803,499,609/360,678
  6. Step 6: Final answer
    x = 878,355.48

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.