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Finding the Third Proportional to 8,621,378 and 14,368,386

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Solution

The third proportional to 8,621,378 and 14,368,386 is: 23,946,347.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,621,378 : 14,368,386 = 14,368,386 : x
  2. Step 2: Convert to fraction form
    8,621,378/14,368,386 = 14,368,386/x
  3. Step 3: Cross multiply
    8,621,378x = 14,368,386 × 14,368,386
  4. Step 4: Simplify right side
    8,621,378x = 206,450,516,244,996
  5. Step 5: Solve for x
    x = 206,450,516,244,996/8,621,378
  6. Step 6: Final answer
    x = 23,946,347.82

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.