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Finding the Third Proportional to 78,040 and 168,560

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Solution

The third proportional to 78,040 and 168,560 is: 364,075.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,040 : 168,560 = 168,560 : x
  2. Step 2: Convert to fraction form
    78,040/168,560 = 168,560/x
  3. Step 3: Cross multiply
    78,040x = 168,560 × 168,560
  4. Step 4: Simplify right side
    78,040x = 28,412,473,600
  5. Step 5: Solve for x
    x = 28,412,473,600/78,040
  6. Step 6: Final answer
    x = 364,075.78

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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.