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Finding the Third Proportional to 387,089 and 836,457

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Solution

The third proportional to 387,089 and 836,457 is: 1,807,492.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,089 : 836,457 = 836,457 : x
  2. Step 2: Convert to fraction form
    387,089/836,457 = 836,457/x
  3. Step 3: Cross multiply
    387,089x = 836,457 × 836,457
  4. Step 4: Simplify right side
    387,089x = 699,660,312,849
  5. Step 5: Solve for x
    x = 699,660,312,849/387,089
  6. Step 6: Final answer
    x = 1,807,492.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.