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Finding the Third Proportional to 657,315 and 1,381,043.25

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Solution

The third proportional to 657,315 and 1,381,043.25 is: 2,901,623.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,315 : 1,381,043.25 = 1,381,043.25 : x
  2. Step 2: Convert to fraction form
    657,315/1,381,043.25 = 1,381,043.25/x
  3. Step 3: Cross multiply
    657,315x = 1,381,043.25 × 1,381,043.25
  4. Step 4: Simplify right side
    657,315x = 1,907,280,458,370.56
  5. Step 5: Solve for x
    x = 1,907,280,458,370.56/657,315
  6. Step 6: Final answer
    x = 2,901,623.21

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.