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Finding the Third Proportional to 385,155 and 563,469.75

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Solution

The third proportional to 385,155 and 563,469.75 is: 824,338.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,155 : 563,469.75 = 563,469.75 : x
  2. Step 2: Convert to fraction form
    385,155/563,469.75 = 563,469.75/x
  3. Step 3: Cross multiply
    385,155x = 563,469.75 × 563,469.75
  4. Step 4: Simplify right side
    385,155x = 317,498,159,165.06
  5. Step 5: Solve for x
    x = 317,498,159,165.06/385,155
  6. Step 6: Final answer
    x = 824,338.67

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.