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Finding the Third Proportional to 77,628 and 169,473

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Solution

The third proportional to 77,628 and 169,473 is: 369,983.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,628 : 169,473 = 169,473 : x
  2. Step 2: Convert to fraction form
    77,628/169,473 = 169,473/x
  3. Step 3: Cross multiply
    77,628x = 169,473 × 169,473
  4. Step 4: Simplify right side
    77,628x = 28,721,097,729
  5. Step 5: Solve for x
    x = 28,721,097,729/77,628
  6. Step 6: Final answer
    x = 369,983.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.