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Finding the Third Proportional to 297,012 and 487,588.50

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Solution

The third proportional to 297,012 and 487,588.50 is: 800,447.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,012 : 487,588.50 = 487,588.50 : x
  2. Step 2: Convert to fraction form
    297,012/487,588.50 = 487,588.50/x
  3. Step 3: Cross multiply
    297,012x = 487,588.50 × 487,588.50
  4. Step 4: Simplify right side
    297,012x = 237,742,545,332.25
  5. Step 5: Solve for x
    x = 237,742,545,332.25/297,012
  6. Step 6: Final answer
    x = 800,447.61

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.