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Finding the Third Proportional to 642,969 and 1,374,510

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Solution

The third proportional to 642,969 and 1,374,510 is: 2,938,365.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,969 : 1,374,510 = 1,374,510 : x
  2. Step 2: Convert to fraction form
    642,969/1,374,510 = 1,374,510/x
  3. Step 3: Cross multiply
    642,969x = 1,374,510 × 1,374,510
  4. Step 4: Simplify right side
    642,969x = 1,889,277,740,100
  5. Step 5: Solve for x
    x = 1,889,277,740,100/642,969
  6. Step 6: Final answer
    x = 2,938,365.21

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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.