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Finding the Third Proportional to 387,054 and 569,199

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Solution

The third proportional to 387,054 and 569,199 is: 837,060.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,054 : 569,199 = 569,199 : x
  2. Step 2: Convert to fraction form
    387,054/569,199 = 569,199/x
  3. Step 3: Cross multiply
    387,054x = 569,199 × 569,199
  4. Step 4: Simplify right side
    387,054x = 323,987,501,601
  5. Step 5: Solve for x
    x = 323,987,501,601/387,054
  6. Step 6: Final answer
    x = 837,060.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.