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Finding the Third Proportional to 12,939,863 and 27,697,442

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Solution

The third proportional to 12,939,863 and 27,697,442 is: 59,285,658.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,939,863 : 27,697,442 = 27,697,442 : x
  2. Step 2: Convert to fraction form
    12,939,863/27,697,442 = 27,697,442/x
  3. Step 3: Cross multiply
    12,939,863x = 27,697,442 × 27,697,442
  4. Step 4: Simplify right side
    12,939,863x = 767,148,293,343,364
  5. Step 5: Solve for x
    x = 767,148,293,343,364/12,939,863
  6. Step 6: Final answer
    x = 59,285,658.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.