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Finding the Third Proportional to 69,136 and 147,748

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Solution

The third proportional to 69,136 and 147,748 is: 315,746.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,136 : 147,748 = 147,748 : x
  2. Step 2: Convert to fraction form
    69,136/147,748 = 147,748/x
  3. Step 3: Cross multiply
    69,136x = 147,748 × 147,748
  4. Step 4: Simplify right side
    69,136x = 21,829,471,504
  5. Step 5: Solve for x
    x = 21,829,471,504/69,136
  6. Step 6: Final answer
    x = 315,746.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.