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Finding the Third Proportional to 421,183,200 and 939,155,136

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Solution

The third proportional to 421,183,200 and 939,155,136 is: 2,094,129,987.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,183,200 : 939,155,136 = 939,155,136 : x
  2. Step 2: Convert to fraction form
    421,183,200/939,155,136 = 939,155,136/x
  3. Step 3: Cross multiply
    421,183,200x = 939,155,136 × 939,155,136
  4. Step 4: Simplify right side
    421,183,200x = 882,012,369,475,178,496
  5. Step 5: Solve for x
    x = 882,012,369,475,178,496/421,183,200
  6. Step 6: Final answer
    x = 2,094,129,987.79

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.