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Finding the Third Proportional to 245,415.75 and 513,064.50

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Solution

The third proportional to 245,415.75 and 513,064.50 is: 1,072,609.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,415.75 : 513,064.50 = 513,064.50 : x
  2. Step 2: Convert to fraction form
    245,415.75/513,064.50 = 513,064.50/x
  3. Step 3: Cross multiply
    245,415.75x = 513,064.50 × 513,064.50
  4. Step 4: Simplify right side
    245,415.75x = 263,235,181,160.25
  5. Step 5: Solve for x
    x = 263,235,181,160.25/245,415.75
  6. Step 6: Final answer
    x = 1,072,609.16

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.