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Finding the Third Proportional to 642,972 and 1,374,522

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Solution

The third proportional to 642,972 and 1,374,522 is: 2,938,402.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,972 : 1,374,522 = 1,374,522 : x
  2. Step 2: Convert to fraction form
    642,972/1,374,522 = 1,374,522/x
  3. Step 3: Cross multiply
    642,972x = 1,374,522 × 1,374,522
  4. Step 4: Simplify right side
    642,972x = 1,889,310,728,484
  5. Step 5: Solve for x
    x = 1,889,310,728,484/642,972
  6. Step 6: Final answer
    x = 2,938,402.81

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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.