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Finding the Third Proportional to 642,971 and 1,374,520

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Solution

The third proportional to 642,971 and 1,374,520 is: 2,938,398.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,971 : 1,374,520 = 1,374,520 : x
  2. Step 2: Convert to fraction form
    642,971/1,374,520 = 1,374,520/x
  3. Step 3: Cross multiply
    642,971x = 1,374,520 × 1,374,520
  4. Step 4: Simplify right side
    642,971x = 1,889,305,230,400
  5. Step 5: Solve for x
    x = 1,889,305,230,400/642,971
  6. Step 6: Final answer
    x = 2,938,398.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.