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Finding the Third Proportional to 53,398,082 and 82,720,611

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Solution

The third proportional to 53,398,082 and 82,720,611 is: 128,145,042.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,398,082 : 82,720,611 = 82,720,611 : x
  2. Step 2: Convert to fraction form
    53,398,082/82,720,611 = 82,720,611/x
  3. Step 3: Cross multiply
    53,398,082x = 82,720,611 × 82,720,611
  4. Step 4: Simplify right side
    53,398,082x = 6,842,699,484,213,321
  5. Step 5: Solve for x
    x = 6,842,699,484,213,321/53,398,082
  6. Step 6: Final answer
    x = 128,145,042.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.