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Finding the Third Proportional to 285,705 and 419,701.50

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Solution

The third proportional to 285,705 and 419,701.50 is: 616,542.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,705 : 419,701.50 = 419,701.50 : x
  2. Step 2: Convert to fraction form
    285,705/419,701.50 = 419,701.50/x
  3. Step 3: Cross multiply
    285,705x = 419,701.50 × 419,701.50
  4. Step 4: Simplify right side
    285,705x = 176,149,349,102.25
  5. Step 5: Solve for x
    x = 176,149,349,102.25/285,705
  6. Step 6: Final answer
    x = 616,542.76

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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.