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Finding the Third Proportional to 608,384 and 1,421,440

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Solution

The third proportional to 608,384 and 1,421,440 is: 3,321,079.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,384 : 1,421,440 = 1,421,440 : x
  2. Step 2: Convert to fraction form
    608,384/1,421,440 = 1,421,440/x
  3. Step 3: Cross multiply
    608,384x = 1,421,440 × 1,421,440
  4. Step 4: Simplify right side
    608,384x = 2,020,491,673,600
  5. Step 5: Solve for x
    x = 2,020,491,673,600/608,384
  6. Step 6: Final answer
    x = 3,321,079.57

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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.