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Finding the Third Proportional to 181,335 and 389,430

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Solution

The third proportional to 181,335 and 389,430 is: 836,329.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,335 : 389,430 = 389,430 : x
  2. Step 2: Convert to fraction form
    181,335/389,430 = 389,430/x
  3. Step 3: Cross multiply
    181,335x = 389,430 × 389,430
  4. Step 4: Simplify right side
    181,335x = 151,655,724,900
  5. Step 5: Solve for x
    x = 151,655,724,900/181,335
  6. Step 6: Final answer
    x = 836,329.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.