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Finding the Third Proportional to 561,126 and 847,521

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Solution

The third proportional to 561,126 and 847,521 is: 1,280,090.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,126 : 847,521 = 847,521 : x
  2. Step 2: Convert to fraction form
    561,126/847,521 = 847,521/x
  3. Step 3: Cross multiply
    561,126x = 847,521 × 847,521
  4. Step 4: Simplify right side
    561,126x = 718,291,845,441
  5. Step 5: Solve for x
    x = 718,291,845,441/561,126
  6. Step 6: Final answer
    x = 1,280,090.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.