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Finding the Third Proportional to 29,988 and 64,890

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Solution

The third proportional to 29,988 and 64,890 is: 140,413.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,988 : 64,890 = 64,890 : x
  2. Step 2: Convert to fraction form
    29,988/64,890 = 64,890/x
  3. Step 3: Cross multiply
    29,988x = 64,890 × 64,890
  4. Step 4: Simplify right side
    29,988x = 4,210,712,100
  5. Step 5: Solve for x
    x = 4,210,712,100/29,988
  6. Step 6: Final answer
    x = 140,413.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.