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Finding the Third Proportional to 371,468 and 558,039

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Solution

The third proportional to 371,468 and 558,039 is: 838,315.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,468 : 558,039 = 558,039 : x
  2. Step 2: Convert to fraction form
    371,468/558,039 = 558,039/x
  3. Step 3: Cross multiply
    371,468x = 558,039 × 558,039
  4. Step 4: Simplify right side
    371,468x = 311,407,525,521
  5. Step 5: Solve for x
    x = 311,407,525,521/371,468
  6. Step 6: Final answer
    x = 838,315.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.