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Finding the Third Proportional to 344,158 and 521,417

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Solution

The third proportional to 344,158 and 521,417 is: 789,973.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,158 : 521,417 = 521,417 : x
  2. Step 2: Convert to fraction form
    344,158/521,417 = 521,417/x
  3. Step 3: Cross multiply
    344,158x = 521,417 × 521,417
  4. Step 4: Simplify right side
    344,158x = 271,875,687,889
  5. Step 5: Solve for x
    x = 271,875,687,889/344,158
  6. Step 6: Final answer
    x = 789,973.47

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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.