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Finding the Third Proportional to 368,605.69 and 495,421.31

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Solution

The third proportional to 368,605.69 and 495,421.31 is: 665,866.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,605.69 : 495,421.31 = 495,421.31 : x
  2. Step 2: Convert to fraction form
    368,605.69/495,421.31 = 495,421.31/x
  3. Step 3: Cross multiply
    368,605.69x = 495,421.31 × 495,421.31
  4. Step 4: Simplify right side
    368,605.69x = 245,442,276,879.22
  5. Step 5: Solve for x
    x = 245,442,276,879.22/368,605.69
  6. Step 6: Final answer
    x = 665,866.77

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.