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Finding the Third Proportional to 642,968 and 1,374,508

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Solution

The third proportional to 642,968 and 1,374,508 is: 2,938,361.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,968 : 1,374,508 = 1,374,508 : x
  2. Step 2: Convert to fraction form
    642,968/1,374,508 = 1,374,508/x
  3. Step 3: Cross multiply
    642,968x = 1,374,508 × 1,374,508
  4. Step 4: Simplify right side
    642,968x = 1,889,272,242,064
  5. Step 5: Solve for x
    x = 1,889,272,242,064/642,968
  6. Step 6: Final answer
    x = 2,938,361.23

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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.