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Finding the Third Proportional to 508,455 and 697,200.75

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Solution

The third proportional to 508,455 and 697,200.75 is: 956,011.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,455 : 697,200.75 = 697,200.75 : x
  2. Step 2: Convert to fraction form
    508,455/697,200.75 = 697,200.75/x
  3. Step 3: Cross multiply
    508,455x = 697,200.75 × 697,200.75
  4. Step 4: Simplify right side
    508,455x = 486,088,885,800.56
  5. Step 5: Solve for x
    x = 486,088,885,800.56/508,455
  6. Step 6: Final answer
    x = 956,011.62

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.