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Finding the Third Proportional to 508,588.56 and 690,707.57

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Solution

The third proportional to 508,588.56 and 690,707.57 is: 938,041.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,588.56 : 690,707.57 = 690,707.57 : x
  2. Step 2: Convert to fraction form
    508,588.56/690,707.57 = 690,707.57/x
  3. Step 3: Cross multiply
    508,588.56x = 690,707.57 × 690,707.57
  4. Step 4: Simplify right side
    508,588.56x = 477,076,942,290.89
  5. Step 5: Solve for x
    x = 477,076,942,290.89/508,588.56
  6. Step 6: Final answer
    x = 938,041.04

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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.