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Finding the Third Proportional to 389,943 and 854,358

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Solution

The third proportional to 389,943 and 854,358 is: 1,871,882.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,943 : 854,358 = 854,358 : x
  2. Step 2: Convert to fraction form
    389,943/854,358 = 854,358/x
  3. Step 3: Cross multiply
    389,943x = 854,358 × 854,358
  4. Step 4: Simplify right side
    389,943x = 729,927,592,164
  5. Step 5: Solve for x
    x = 729,927,592,164/389,943
  6. Step 6: Final answer
    x = 1,871,882.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.