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Finding the Third Proportional to 831,834 and 1,242,207

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Solution

The third proportional to 831,834 and 1,242,207 is: 1,855,031.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,834 : 1,242,207 = 1,242,207 : x
  2. Step 2: Convert to fraction form
    831,834/1,242,207 = 1,242,207/x
  3. Step 3: Cross multiply
    831,834x = 1,242,207 × 1,242,207
  4. Step 4: Simplify right side
    831,834x = 1,543,078,230,849
  5. Step 5: Solve for x
    x = 1,543,078,230,849/831,834
  6. Step 6: Final answer
    x = 1,855,031.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.