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Finding the Third Proportional to 381,207 and 559,076

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Solution

The third proportional to 381,207 and 559,076 is: 819,937.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,207 : 559,076 = 559,076 : x
  2. Step 2: Convert to fraction form
    381,207/559,076 = 559,076/x
  3. Step 3: Cross multiply
    381,207x = 559,076 × 559,076
  4. Step 4: Simplify right side
    381,207x = 312,565,973,776
  5. Step 5: Solve for x
    x = 312,565,973,776/381,207
  6. Step 6: Final answer
    x = 819,937.66

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.