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Finding the Third Proportional to 98,448 and 152,731.50

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Solution

The third proportional to 98,448 and 152,731.50 is: 236,946.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,448 : 152,731.50 = 152,731.50 : x
  2. Step 2: Convert to fraction form
    98,448/152,731.50 = 152,731.50/x
  3. Step 3: Cross multiply
    98,448x = 152,731.50 × 152,731.50
  4. Step 4: Simplify right side
    98,448x = 23,326,911,092.25
  5. Step 5: Solve for x
    x = 23,326,911,092.25/98,448
  6. Step 6: Final answer
    x = 236,946.52

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.