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Finding the Third Proportional to 642,960 and 1,374,492

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Solution

The third proportional to 642,960 and 1,374,492 is: 2,938,329.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,960 : 1,374,492 = 1,374,492 : x
  2. Step 2: Convert to fraction form
    642,960/1,374,492 = 1,374,492/x
  3. Step 3: Cross multiply
    642,960x = 1,374,492 × 1,374,492
  4. Step 4: Simplify right side
    642,960x = 1,889,228,258,064
  5. Step 5: Solve for x
    x = 1,889,228,258,064/642,960
  6. Step 6: Final answer
    x = 2,938,329.38

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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.