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Finding the Third Proportional to 298,316 and 581,512

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Solution

The third proportional to 298,316 and 581,512 is: 1,133,550.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,316 : 581,512 = 581,512 : x
  2. Step 2: Convert to fraction form
    298,316/581,512 = 581,512/x
  3. Step 3: Cross multiply
    298,316x = 581,512 × 581,512
  4. Step 4: Simplify right side
    298,316x = 338,156,206,144
  5. Step 5: Solve for x
    x = 338,156,206,144/298,316
  6. Step 6: Final answer
    x = 1,133,550.35

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.