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Finding the Third Proportional to 690,192 and 1,508,688

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Solution

The third proportional to 690,192 and 1,508,688 is: 3,297,835.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,192 : 1,508,688 = 1,508,688 : x
  2. Step 2: Convert to fraction form
    690,192/1,508,688 = 1,508,688/x
  3. Step 3: Cross multiply
    690,192x = 1,508,688 × 1,508,688
  4. Step 4: Simplify right side
    690,192x = 2,276,139,481,344
  5. Step 5: Solve for x
    x = 2,276,139,481,344/690,192
  6. Step 6: Final answer
    x = 3,297,835.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.