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Finding the Third Proportional to 77,520 and 172,572

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Solution

The third proportional to 77,520 and 172,572 is: 384,173.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,520 : 172,572 = 172,572 : x
  2. Step 2: Convert to fraction form
    77,520/172,572 = 172,572/x
  3. Step 3: Cross multiply
    77,520x = 172,572 × 172,572
  4. Step 4: Simplify right side
    77,520x = 29,781,095,184
  5. Step 5: Solve for x
    x = 29,781,095,184/77,520
  6. Step 6: Final answer
    x = 384,173.05

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.