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Finding the Third Proportional to 386,497.50 and 577,969.50

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Solution

The third proportional to 386,497.50 and 577,969.50 is: 864,297.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,497.50 : 577,969.50 = 577,969.50 : x
  2. Step 2: Convert to fraction form
    386,497.50/577,969.50 = 577,969.50/x
  3. Step 3: Cross multiply
    386,497.50x = 577,969.50 × 577,969.50
  4. Step 4: Simplify right side
    386,497.50x = 334,048,742,930.25
  5. Step 5: Solve for x
    x = 334,048,742,930.25/386,497.50
  6. Step 6: Final answer
    x = 864,297.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.