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Finding the Third Proportional to 513,946 and 818,440

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Solution

The third proportional to 513,946 and 818,440 is: 1,303,335.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,946 : 818,440 = 818,440 : x
  2. Step 2: Convert to fraction form
    513,946/818,440 = 818,440/x
  3. Step 3: Cross multiply
    513,946x = 818,440 × 818,440
  4. Step 4: Simplify right side
    513,946x = 669,844,033,600
  5. Step 5: Solve for x
    x = 669,844,033,600/513,946
  6. Step 6: Final answer
    x = 1,303,335.44

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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.