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Finding the Third Proportional to 98,476.50 and 143,409

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Solution

The third proportional to 98,476.50 and 143,409 is: 208,843.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,476.50 : 143,409 = 143,409 : x
  2. Step 2: Convert to fraction form
    98,476.50/143,409 = 143,409/x
  3. Step 3: Cross multiply
    98,476.50x = 143,409 × 143,409
  4. Step 4: Simplify right side
    98,476.50x = 20,566,141,281
  5. Step 5: Solve for x
    x = 20,566,141,281/98,476.50
  6. Step 6: Final answer
    x = 208,843.14

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.