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Finding the Third Proportional to 285,904.75 and 420,541.13

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Solution

The third proportional to 285,904.75 and 420,541.13 is: 618,579.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,904.75 : 420,541.13 = 420,541.13 : x
  2. Step 2: Convert to fraction form
    285,904.75/420,541.13 = 420,541.13/x
  3. Step 3: Cross multiply
    285,904.75x = 420,541.13 × 420,541.13
  4. Step 4: Simplify right side
    285,904.75x = 176,854,837,816.27
  5. Step 5: Solve for x
    x = 176,854,837,816.27/285,904.75
  6. Step 6: Final answer
    x = 618,579.57

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.