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Finding the Third Proportional to 299,688 and 643,440

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Solution

The third proportional to 299,688 and 643,440 is: 1,381,486.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,688 : 643,440 = 643,440 : x
  2. Step 2: Convert to fraction form
    299,688/643,440 = 643,440/x
  3. Step 3: Cross multiply
    299,688x = 643,440 × 643,440
  4. Step 4: Simplify right side
    299,688x = 414,015,033,600
  5. Step 5: Solve for x
    x = 414,015,033,600/299,688
  6. Step 6: Final answer
    x = 1,381,486.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.