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Finding the Third Proportional to 6,411,440 and 13,538,272

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Solution

The third proportional to 6,411,440 and 13,538,272 is: 28,587,151.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411,440 : 13,538,272 = 13,538,272 : x
  2. Step 2: Convert to fraction form
    6,411,440/13,538,272 = 13,538,272/x
  3. Step 3: Cross multiply
    6,411,440x = 13,538,272 × 13,538,272
  4. Step 4: Simplify right side
    6,411,440x = 183,284,808,745,984
  5. Step 5: Solve for x
    x = 183,284,808,745,984/6,411,440
  6. Step 6: Final answer
    x = 28,587,151.83

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.