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Finding the Third Proportional to 317,574 and 505,521

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Solution

The third proportional to 317,574 and 505,521 is: 804,699.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,574 : 505,521 = 505,521 : x
  2. Step 2: Convert to fraction form
    317,574/505,521 = 505,521/x
  3. Step 3: Cross multiply
    317,574x = 505,521 × 505,521
  4. Step 4: Simplify right side
    317,574x = 255,551,481,441
  5. Step 5: Solve for x
    x = 255,551,481,441/317,574
  6. Step 6: Final answer
    x = 804,699.00

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.