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Finding the Third Proportional to 98,420 and 152,688

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Solution

The third proportional to 98,420 and 152,688 is: 236,878.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,420 : 152,688 = 152,688 : x
  2. Step 2: Convert to fraction form
    98,420/152,688 = 152,688/x
  3. Step 3: Cross multiply
    98,420x = 152,688 × 152,688
  4. Step 4: Simplify right side
    98,420x = 23,313,625,344
  5. Step 5: Solve for x
    x = 23,313,625,344/98,420
  6. Step 6: Final answer
    x = 236,878.94

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Why These Related Problems?

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