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Finding the Third Proportional to 231,186,774 and 317,019,465

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Solution

The third proportional to 231,186,774 and 317,019,465 is: 434,719,250.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,186,774 : 317,019,465 = 317,019,465 : x
  2. Step 2: Convert to fraction form
    231,186,774/317,019,465 = 317,019,465/x
  3. Step 3: Cross multiply
    231,186,774x = 317,019,465 × 317,019,465
  4. Step 4: Simplify right side
    231,186,774x = 100,501,341,188,886,224
  5. Step 5: Solve for x
    x = 100,501,341,188,886,224/231,186,774
  6. Step 6: Final answer
    x = 434,719,250.80

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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.