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Finding the Third Proportional to 386,301 and 587,355

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Solution

The third proportional to 386,301 and 587,355 is: 893,049.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,301 : 587,355 = 587,355 : x
  2. Step 2: Convert to fraction form
    386,301/587,355 = 587,355/x
  3. Step 3: Cross multiply
    386,301x = 587,355 × 587,355
  4. Step 4: Simplify right side
    386,301x = 344,985,896,025
  5. Step 5: Solve for x
    x = 344,985,896,025/386,301
  6. Step 6: Final answer
    x = 893,049.45

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.