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Finding the Third Proportional to 285,055.45 and 619,727.20

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Solution

The third proportional to 285,055.45 and 619,727.20 is: 1,347,323.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,055.45 : 619,727.20 = 619,727.20 : x
  2. Step 2: Convert to fraction form
    285,055.45/619,727.20 = 619,727.20/x
  3. Step 3: Cross multiply
    285,055.45x = 619,727.20 × 619,727.20
  4. Step 4: Simplify right side
    285,055.45x = 384,061,806,293.14
  5. Step 5: Solve for x
    x = 384,061,806,293.14/285,055.45
  6. Step 6: Final answer
    x = 1,347,323.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.