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Finding the Third Proportional to 836,630 and 1,292,735

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Solution

The third proportional to 836,630 and 1,292,735 is: 1,997,494.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,630 : 1,292,735 = 1,292,735 : x
  2. Step 2: Convert to fraction form
    836,630/1,292,735 = 1,292,735/x
  3. Step 3: Cross multiply
    836,630x = 1,292,735 × 1,292,735
  4. Step 4: Simplify right side
    836,630x = 1,671,163,780,225
  5. Step 5: Solve for x
    x = 1,671,163,780,225/836,630
  6. Step 6: Final answer
    x = 1,997,494.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.