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Finding the Third Proportional to 508,715 and 786,974

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Solution

The third proportional to 508,715 and 786,974 is: 1,217,436.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,715 : 786,974 = 786,974 : x
  2. Step 2: Convert to fraction form
    508,715/786,974 = 786,974/x
  3. Step 3: Cross multiply
    508,715x = 786,974 × 786,974
  4. Step 4: Simplify right side
    508,715x = 619,328,076,676
  5. Step 5: Solve for x
    x = 619,328,076,676/508,715
  6. Step 6: Final answer
    x = 1,217,436.24

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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.