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Finding the Third Proportional to 387,325 and 528,046

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Solution

The third proportional to 387,325 and 528,046 is: 719,893.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,325 : 528,046 = 528,046 : x
  2. Step 2: Convert to fraction form
    387,325/528,046 = 528,046/x
  3. Step 3: Cross multiply
    387,325x = 528,046 × 528,046
  4. Step 4: Simplify right side
    387,325x = 278,832,578,116
  5. Step 5: Solve for x
    x = 278,832,578,116/387,325
  6. Step 6: Final answer
    x = 719,893.06

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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.