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Finding the Third Proportional to 78,004 and 168,272

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Solution

The third proportional to 78,004 and 168,272 is: 363,000.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,004 : 168,272 = 168,272 : x
  2. Step 2: Convert to fraction form
    78,004/168,272 = 168,272/x
  3. Step 3: Cross multiply
    78,004x = 168,272 × 168,272
  4. Step 4: Simplify right side
    78,004x = 28,315,465,984
  5. Step 5: Solve for x
    x = 28,315,465,984/78,004
  6. Step 6: Final answer
    x = 363,000.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.