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Finding the Third Proportional to 212,813,322 and 320,742,165

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Solution

The third proportional to 212,813,322 and 320,742,165 is: 483,407,408.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,813,322 : 320,742,165 = 320,742,165 : x
  2. Step 2: Convert to fraction form
    212,813,322/320,742,165 = 320,742,165/x
  3. Step 3: Cross multiply
    212,813,322x = 320,742,165 × 320,742,165
  4. Step 4: Simplify right side
    212,813,322x = 102,875,536,408,887,232
  5. Step 5: Solve for x
    x = 102,875,536,408,887,232/212,813,322
  6. Step 6: Final answer
    x = 483,407,408.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.