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Finding the Third Proportional to 84,788,186 and 183,662,136

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Solution

The third proportional to 84,788,186 and 183,662,136 is: 397,835,851.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,788,186 : 183,662,136 = 183,662,136 : x
  2. Step 2: Convert to fraction form
    84,788,186/183,662,136 = 183,662,136/x
  3. Step 3: Cross multiply
    84,788,186x = 183,662,136 × 183,662,136
  4. Step 4: Simplify right side
    84,788,186x = 33,731,780,200,082,496
  5. Step 5: Solve for x
    x = 33,731,780,200,082,496/84,788,186
  6. Step 6: Final answer
    x = 397,835,851.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.