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Finding the Third Proportional to 508,840.50 and 691,047

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Solution

The third proportional to 508,840.50 and 691,047 is: 938,498.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,840.50 : 691,047 = 691,047 : x
  2. Step 2: Convert to fraction form
    508,840.50/691,047 = 691,047/x
  3. Step 3: Cross multiply
    508,840.50x = 691,047 × 691,047
  4. Step 4: Simplify right side
    508,840.50x = 477,545,956,209
  5. Step 5: Solve for x
    x = 477,545,956,209/508,840.50
  6. Step 6: Final answer
    x = 938,498.32

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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.