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Finding the Third Proportional to 578,116 and 908,086

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Solution

The third proportional to 578,116 and 908,086 is: 1,426,392.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,116 : 908,086 = 908,086 : x
  2. Step 2: Convert to fraction form
    578,116/908,086 = 908,086/x
  3. Step 3: Cross multiply
    578,116x = 908,086 × 908,086
  4. Step 4: Simplify right side
    578,116x = 824,620,183,396
  5. Step 5: Solve for x
    x = 824,620,183,396/578,116
  6. Step 6: Final answer
    x = 1,426,392.25

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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.