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Finding the Third Proportional to 7,815,309 and 11,804,628

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Solution

The third proportional to 7,815,309 and 11,804,628 is: 17,830,292.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,815,309 : 11,804,628 = 11,804,628 : x
  2. Step 2: Convert to fraction form
    7,815,309/11,804,628 = 11,804,628/x
  3. Step 3: Cross multiply
    7,815,309x = 11,804,628 × 11,804,628
  4. Step 4: Simplify right side
    7,815,309x = 139,349,242,218,384
  5. Step 5: Solve for x
    x = 139,349,242,218,384/7,815,309
  6. Step 6: Final answer
    x = 17,830,292.09

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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.