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Finding the Third Proportional to 337,918 and 472,430

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Solution

The third proportional to 337,918 and 472,430 is: 660,485.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,918 : 472,430 = 472,430 : x
  2. Step 2: Convert to fraction form
    337,918/472,430 = 472,430/x
  3. Step 3: Cross multiply
    337,918x = 472,430 × 472,430
  4. Step 4: Simplify right side
    337,918x = 223,190,104,900
  5. Step 5: Solve for x
    x = 223,190,104,900/337,918
  6. Step 6: Final answer
    x = 660,485.99

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.