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Finding the Third Proportional to 245,794.50 and 310,675.50

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Solution

The third proportional to 245,794.50 and 310,675.50 is: 392,682.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,794.50 : 310,675.50 = 310,675.50 : x
  2. Step 2: Convert to fraction form
    245,794.50/310,675.50 = 310,675.50/x
  3. Step 3: Cross multiply
    245,794.50x = 310,675.50 × 310,675.50
  4. Step 4: Simplify right side
    245,794.50x = 96,519,266,300.25
  5. Step 5: Solve for x
    x = 96,519,266,300.25/245,794.50
  6. Step 6: Final answer
    x = 392,682.77

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.