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Finding the Third Proportional to 212,776,628 and 323,455,136

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Solution

The third proportional to 212,776,628 and 323,455,136 is: 491,704,497.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,776,628 : 323,455,136 = 323,455,136 : x
  2. Step 2: Convert to fraction form
    212,776,628/323,455,136 = 323,455,136/x
  3. Step 3: Cross multiply
    212,776,628x = 323,455,136 × 323,455,136
  4. Step 4: Simplify right side
    212,776,628x = 104,623,225,004,778,496
  5. Step 5: Solve for x
    x = 104,623,225,004,778,496/212,776,628
  6. Step 6: Final answer
    x = 491,704,497.76

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.