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Finding the Third Proportional to 393,147 and 837,810

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Solution

The third proportional to 393,147 and 837,810 is: 1,785,402.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,147 : 837,810 = 837,810 : x
  2. Step 2: Convert to fraction form
    393,147/837,810 = 837,810/x
  3. Step 3: Cross multiply
    393,147x = 837,810 × 837,810
  4. Step 4: Simplify right side
    393,147x = 701,925,596,100
  5. Step 5: Solve for x
    x = 701,925,596,100/393,147
  6. Step 6: Final answer
    x = 1,785,402.40

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.