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Finding the Third Proportional to 370,863 and 503,785

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Solution

The third proportional to 370,863 and 503,785 is: 684,347.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,863 : 503,785 = 503,785 : x
  2. Step 2: Convert to fraction form
    370,863/503,785 = 503,785/x
  3. Step 3: Cross multiply
    370,863x = 503,785 × 503,785
  4. Step 4: Simplify right side
    370,863x = 253,799,326,225
  5. Step 5: Solve for x
    x = 253,799,326,225/370,863
  6. Step 6: Final answer
    x = 684,347.93

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.