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Finding the Third Proportional to 180,385 and 389,658

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Solution

The third proportional to 180,385 and 389,658 is: 841,718.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,385 : 389,658 = 389,658 : x
  2. Step 2: Convert to fraction form
    180,385/389,658 = 389,658/x
  3. Step 3: Cross multiply
    180,385x = 389,658 × 389,658
  4. Step 4: Simplify right side
    180,385x = 151,833,356,964
  5. Step 5: Solve for x
    x = 151,833,356,964/180,385
  6. Step 6: Final answer
    x = 841,718.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.