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Finding the Third Proportional to 387,320 and 533,364

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Solution

The third proportional to 387,320 and 533,364 is: 734,475.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,320 : 533,364 = 533,364 : x
  2. Step 2: Convert to fraction form
    387,320/533,364 = 533,364/x
  3. Step 3: Cross multiply
    387,320x = 533,364 × 533,364
  4. Step 4: Simplify right side
    387,320x = 284,477,156,496
  5. Step 5: Solve for x
    x = 284,477,156,496/387,320
  6. Step 6: Final answer
    x = 734,475.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.