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Finding the Third Proportional to 9,777,129 and 21,045,246

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Solution

The third proportional to 9,777,129 and 21,045,246 is: 45,299,839.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777,129 : 21,045,246 = 21,045,246 : x
  2. Step 2: Convert to fraction form
    9,777,129/21,045,246 = 21,045,246/x
  3. Step 3: Cross multiply
    9,777,129x = 21,045,246 × 21,045,246
  4. Step 4: Simplify right side
    9,777,129x = 442,902,379,200,516
  5. Step 5: Solve for x
    x = 442,902,379,200,516/9,777,129
  6. Step 6: Final answer
    x = 45,299,839.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.