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Finding the Third Proportional to 386,358 and 591,011

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Solution

The third proportional to 386,358 and 591,011 is: 904,068.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,358 : 591,011 = 591,011 : x
  2. Step 2: Convert to fraction form
    386,358/591,011 = 591,011/x
  3. Step 3: Cross multiply
    386,358x = 591,011 × 591,011
  4. Step 4: Simplify right side
    386,358x = 349,294,002,121
  5. Step 5: Solve for x
    x = 349,294,002,121/386,358
  6. Step 6: Final answer
    x = 904,068.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.