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Finding the Third Proportional to 285,387.75 and 442,509.75

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Solution

The third proportional to 285,387.75 and 442,509.75 is: 686,136.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,387.75 : 442,509.75 = 442,509.75 : x
  2. Step 2: Convert to fraction form
    285,387.75/442,509.75 = 442,509.75/x
  3. Step 3: Cross multiply
    285,387.75x = 442,509.75 × 442,509.75
  4. Step 4: Simplify right side
    285,387.75x = 195,814,878,845.06
  5. Step 5: Solve for x
    x = 195,814,878,845.06/285,387.75
  6. Step 6: Final answer
    x = 686,136.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.