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Finding the Third Proportional to 98,402 and 152,787

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Solution

The third proportional to 98,402 and 152,787 is: 237,229.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,402 : 152,787 = 152,787 : x
  2. Step 2: Convert to fraction form
    98,402/152,787 = 152,787/x
  3. Step 3: Cross multiply
    98,402x = 152,787 × 152,787
  4. Step 4: Simplify right side
    98,402x = 23,343,867,369
  5. Step 5: Solve for x
    x = 23,343,867,369/98,402
  6. Step 6: Final answer
    x = 237,229.60

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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.