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Finding the Third Proportional to 65,510 and 153,989

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Solution

The third proportional to 65,510 and 153,989 is: 361,969.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,510 : 153,989 = 153,989 : x
  2. Step 2: Convert to fraction form
    65,510/153,989 = 153,989/x
  3. Step 3: Cross multiply
    65,510x = 153,989 × 153,989
  4. Step 4: Simplify right side
    65,510x = 23,712,612,121
  5. Step 5: Solve for x
    x = 23,712,612,121/65,510
  6. Step 6: Final answer
    x = 361,969.35

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.