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Finding the Third Proportional to 183,708 and 390,456

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Solution

The third proportional to 183,708 and 390,456 is: 829,881.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,708 : 390,456 = 390,456 : x
  2. Step 2: Convert to fraction form
    183,708/390,456 = 390,456/x
  3. Step 3: Cross multiply
    183,708x = 390,456 × 390,456
  4. Step 4: Simplify right side
    183,708x = 152,455,887,936
  5. Step 5: Solve for x
    x = 152,455,887,936/183,708
  6. Step 6: Final answer
    x = 829,881.59

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.