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Finding the Third Proportional to 7,811,712 and 11,827,728

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Solution

The third proportional to 7,811,712 and 11,827,728 is: 17,908,385.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,811,712 : 11,827,728 = 11,827,728 : x
  2. Step 2: Convert to fraction form
    7,811,712/11,827,728 = 11,827,728/x
  3. Step 3: Cross multiply
    7,811,712x = 11,827,728 × 11,827,728
  4. Step 4: Simplify right side
    7,811,712x = 139,895,149,641,984
  5. Step 5: Solve for x
    x = 139,895,149,641,984/7,811,712
  6. Step 6: Final answer
    x = 17,908,385.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.