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Finding the Third Proportional to 847,085 and 1,242,371

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Solution

The third proportional to 847,085 and 1,242,371 is: 1,822,114.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,085 : 1,242,371 = 1,242,371 : x
  2. Step 2: Convert to fraction form
    847,085/1,242,371 = 1,242,371/x
  3. Step 3: Cross multiply
    847,085x = 1,242,371 × 1,242,371
  4. Step 4: Simplify right side
    847,085x = 1,543,485,701,641
  5. Step 5: Solve for x
    x = 1,543,485,701,641/847,085
  6. Step 6: Final answer
    x = 1,822,114.31

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.