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Finding the Third Proportional to 317,216 and 455,951

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Solution

The third proportional to 317,216 and 455,951 is: 655,362.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,216 : 455,951 = 455,951 : x
  2. Step 2: Convert to fraction form
    317,216/455,951 = 455,951/x
  3. Step 3: Cross multiply
    317,216x = 455,951 × 455,951
  4. Step 4: Simplify right side
    317,216x = 207,891,314,401
  5. Step 5: Solve for x
    x = 207,891,314,401/317,216
  6. Step 6: Final answer
    x = 655,362.01

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.