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Finding the Third Proportional to 212,581,842 and 303,992,415

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Solution

The third proportional to 212,581,842 and 303,992,415 is: 434,709,698.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,581,842 : 303,992,415 = 303,992,415 : x
  2. Step 2: Convert to fraction form
    212,581,842/303,992,415 = 303,992,415/x
  3. Step 3: Cross multiply
    212,581,842x = 303,992,415 × 303,992,415
  4. Step 4: Simplify right side
    212,581,842x = 92,411,388,377,532,224
  5. Step 5: Solve for x
    x = 92,411,388,377,532,224/212,581,842
  6. Step 6: Final answer
    x = 434,709,698.19

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.