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Finding the Third Proportional to 98,745 and 141,106.50

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Solution

The third proportional to 98,745 and 141,106.50 is: 201,641.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,745 : 141,106.50 = 141,106.50 : x
  2. Step 2: Convert to fraction form
    98,745/141,106.50 = 141,106.50/x
  3. Step 3: Cross multiply
    98,745x = 141,106.50 × 141,106.50
  4. Step 4: Simplify right side
    98,745x = 19,911,044,342.25
  5. Step 5: Solve for x
    x = 19,911,044,342.25/98,745
  6. Step 6: Final answer
    x = 201,641.04

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.