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Finding the Third Proportional to 69,228,084 and 147,722,136

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Solution

The third proportional to 69,228,084 and 147,722,136 is: 315,216,429.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,228,084 : 147,722,136 = 147,722,136 : x
  2. Step 2: Convert to fraction form
    69,228,084/147,722,136 = 147,722,136/x
  3. Step 3: Cross multiply
    69,228,084x = 147,722,136 × 147,722,136
  4. Step 4: Simplify right side
    69,228,084x = 21,821,829,464,402,496
  5. Step 5: Solve for x
    x = 21,821,829,464,402,496/69,228,084
  6. Step 6: Final answer
    x = 315,216,429.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.