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Finding the Third Proportional to 387,358 and 528,093

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Solution

The third proportional to 387,358 and 528,093 is: 719,959.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,358 : 528,093 = 528,093 : x
  2. Step 2: Convert to fraction form
    387,358/528,093 = 528,093/x
  3. Step 3: Cross multiply
    387,358x = 528,093 × 528,093
  4. Step 4: Simplify right side
    387,358x = 278,882,216,649
  5. Step 5: Solve for x
    x = 278,882,216,649/387,358
  6. Step 6: Final answer
    x = 719,959.87

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.