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Finding the Third Proportional to 402,166 and 562,513

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Solution

The third proportional to 402,166 and 562,513 is: 786,791.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,166 : 562,513 = 562,513 : x
  2. Step 2: Convert to fraction form
    402,166/562,513 = 562,513/x
  3. Step 3: Cross multiply
    402,166x = 562,513 × 562,513
  4. Step 4: Simplify right side
    402,166x = 316,420,875,169
  5. Step 5: Solve for x
    x = 316,420,875,169/402,166
  6. Step 6: Final answer
    x = 786,791.71

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.