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Finding the Third Proportional to 369,086 and 578,230

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Solution

The third proportional to 369,086 and 578,230 is: 905,886.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,086 : 578,230 = 578,230 : x
  2. Step 2: Convert to fraction form
    369,086/578,230 = 578,230/x
  3. Step 3: Cross multiply
    369,086x = 578,230 × 578,230
  4. Step 4: Simplify right side
    369,086x = 334,349,932,900
  5. Step 5: Solve for x
    x = 334,349,932,900/369,086
  6. Step 6: Final answer
    x = 905,886.25

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.