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Finding the Third Proportional to 513,784 and 818,240

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Solution

The third proportional to 513,784 and 818,240 is: 1,303,109.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,784 : 818,240 = 818,240 : x
  2. Step 2: Convert to fraction form
    513,784/818,240 = 818,240/x
  3. Step 3: Cross multiply
    513,784x = 818,240 × 818,240
  4. Step 4: Simplify right side
    513,784x = 669,516,697,600
  5. Step 5: Solve for x
    x = 669,516,697,600/513,784
  6. Step 6: Final answer
    x = 1,303,109.28

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.