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Finding the Third Proportional to 472,398 and 717,345

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Solution

The third proportional to 472,398 and 717,345 is: 1,089,301.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,398 : 717,345 = 717,345 : x
  2. Step 2: Convert to fraction form
    472,398/717,345 = 717,345/x
  3. Step 3: Cross multiply
    472,398x = 717,345 × 717,345
  4. Step 4: Simplify right side
    472,398x = 514,583,849,025
  5. Step 5: Solve for x
    x = 514,583,849,025/472,398
  6. Step 6: Final answer
    x = 1,089,301.50

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.