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Finding the Third Proportional to 6,931,539 and 15,456,861

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Solution

The third proportional to 6,931,539 and 15,456,861 is: 34,467,749.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,931,539 : 15,456,861 = 15,456,861 : x
  2. Step 2: Convert to fraction form
    6,931,539/15,456,861 = 15,456,861/x
  3. Step 3: Cross multiply
    6,931,539x = 15,456,861 × 15,456,861
  4. Step 4: Simplify right side
    6,931,539x = 238,914,551,973,321
  5. Step 5: Solve for x
    x = 238,914,551,973,321/6,931,539
  6. Step 6: Final answer
    x = 34,467,749.80

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.