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Finding the Third Proportional to 98,621.50 and 215,657

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Solution

The third proportional to 98,621.50 and 215,657 is: 471,580.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,621.50 : 215,657 = 215,657 : x
  2. Step 2: Convert to fraction form
    98,621.50/215,657 = 215,657/x
  3. Step 3: Cross multiply
    98,621.50x = 215,657 × 215,657
  4. Step 4: Simplify right side
    98,621.50x = 46,507,941,649
  5. Step 5: Solve for x
    x = 46,507,941,649/98,621.50
  6. Step 6: Final answer
    x = 471,580.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.