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Finding the Third Proportional to 285,210.75 and 438,427.50

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Solution

The third proportional to 285,210.75 and 438,427.50 is: 673,953.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,210.75 : 438,427.50 = 438,427.50 : x
  2. Step 2: Convert to fraction form
    285,210.75/438,427.50 = 438,427.50/x
  3. Step 3: Cross multiply
    285,210.75x = 438,427.50 × 438,427.50
  4. Step 4: Simplify right side
    285,210.75x = 192,218,672,756.25
  5. Step 5: Solve for x
    x = 192,218,672,756.25/285,210.75
  6. Step 6: Final answer
    x = 673,953.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.