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Finding the Third Proportional to 253,399.50 and 553,819.50

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Solution

The third proportional to 253,399.50 and 553,819.50 is: 1,210,405.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,399.50 : 553,819.50 = 553,819.50 : x
  2. Step 2: Convert to fraction form
    253,399.50/553,819.50 = 553,819.50/x
  3. Step 3: Cross multiply
    253,399.50x = 553,819.50 × 553,819.50
  4. Step 4: Simplify right side
    253,399.50x = 306,716,038,580.25
  5. Step 5: Solve for x
    x = 306,716,038,580.25/253,399.50
  6. Step 6: Final answer
    x = 1,210,405.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.