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Finding the Third Proportional to 389,724 and 837,468

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Solution

The third proportional to 389,724 and 837,468 is: 1,799,613.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,724 : 837,468 = 837,468 : x
  2. Step 2: Convert to fraction form
    389,724/837,468 = 837,468/x
  3. Step 3: Cross multiply
    389,724x = 837,468 × 837,468
  4. Step 4: Simplify right side
    389,724x = 701,352,651,024
  5. Step 5: Solve for x
    x = 701,352,651,024/389,724
  6. Step 6: Final answer
    x = 1,799,613.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.