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Finding the Third Proportional to 611,397 and 1,296,787.50

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Solution

The third proportional to 611,397 and 1,296,787.50 is: 2,750,516.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,397 : 1,296,787.50 = 1,296,787.50 : x
  2. Step 2: Convert to fraction form
    611,397/1,296,787.50 = 1,296,787.50/x
  3. Step 3: Cross multiply
    611,397x = 1,296,787.50 × 1,296,787.50
  4. Step 4: Simplify right side
    611,397x = 1,681,657,820,156.25
  5. Step 5: Solve for x
    x = 1,681,657,820,156.25/611,397
  6. Step 6: Final answer
    x = 2,750,516.96

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.