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Finding the Third Proportional to 506,434 and 787,299

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Solution

The third proportional to 506,434 and 787,299 is: 1,223,929.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,434 : 787,299 = 787,299 : x
  2. Step 2: Convert to fraction form
    506,434/787,299 = 787,299/x
  3. Step 3: Cross multiply
    506,434x = 787,299 × 787,299
  4. Step 4: Simplify right side
    506,434x = 619,839,715,401
  5. Step 5: Solve for x
    x = 619,839,715,401/506,434
  6. Step 6: Final answer
    x = 1,223,929.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.