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Finding the Third Proportional to 298,487 and 645,088

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Solution

The third proportional to 298,487 and 645,088 is: 1,394,159.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,487 : 645,088 = 645,088 : x
  2. Step 2: Convert to fraction form
    298,487/645,088 = 645,088/x
  3. Step 3: Cross multiply
    298,487x = 645,088 × 645,088
  4. Step 4: Simplify right side
    298,487x = 416,138,527,744
  5. Step 5: Solve for x
    x = 416,138,527,744/298,487
  6. Step 6: Final answer
    x = 1,394,159.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.