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Finding the Third Proportional to 181,298.88 and 387,509.06

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Solution

The third proportional to 181,298.88 and 387,509.06 is: 828,263.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,298.88 : 387,509.06 = 387,509.06 : x
  2. Step 2: Convert to fraction form
    181,298.88/387,509.06 = 387,509.06/x
  3. Step 3: Cross multiply
    181,298.88x = 387,509.06 × 387,509.06
  4. Step 4: Simplify right side
    181,298.88x = 150,163,273,519.63
  5. Step 5: Solve for x
    x = 150,163,273,519.63/181,298.88
  6. Step 6: Final answer
    x = 828,263.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.