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Finding the Third Proportional to 243,000 and 512,406

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Solution

The third proportional to 243,000 and 512,406 is: 1,080,493.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,000 : 512,406 = 512,406 : x
  2. Step 2: Convert to fraction form
    243,000/512,406 = 512,406/x
  3. Step 3: Cross multiply
    243,000x = 512,406 × 512,406
  4. Step 4: Simplify right side
    243,000x = 262,559,908,836
  5. Step 5: Solve for x
    x = 262,559,908,836/243,000
  6. Step 6: Final answer
    x = 1,080,493.45

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.