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Finding the Third Proportional to 14,693,346 and 34,311,262.50

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Solution

The third proportional to 14,693,346 and 34,311,262.50 is: 80,122,167.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,693,346 : 34,311,262.50 = 34,311,262.50 : x
  2. Step 2: Convert to fraction form
    14,693,346/34,311,262.50 = 34,311,262.50/x
  3. Step 3: Cross multiply
    14,693,346x = 34,311,262.50 × 34,311,262.50
  4. Step 4: Simplify right side
    14,693,346x = 1,177,262,734,343,906.25
  5. Step 5: Solve for x
    x = 1,177,262,734,343,906.25/14,693,346
  6. Step 6: Final answer
    x = 80,122,167.84

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.