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Finding the Third Proportional to 285,430.50 and 384,473.25

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Solution

The third proportional to 285,430.50 and 384,473.25 is: 517,883.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,430.50 : 384,473.25 = 384,473.25 : x
  2. Step 2: Convert to fraction form
    285,430.50/384,473.25 = 384,473.25/x
  3. Step 3: Cross multiply
    285,430.50x = 384,473.25 × 384,473.25
  4. Step 4: Simplify right side
    285,430.50x = 147,819,679,965.56
  5. Step 5: Solve for x
    x = 147,819,679,965.56/285,430.50
  6. Step 6: Final answer
    x = 517,883.27

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.