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Finding the Third Proportional to 212,813,320 and 320,742,162

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Solution

The third proportional to 212,813,320 and 320,742,162 is: 483,407,403.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,813,320 : 320,742,162 = 320,742,162 : x
  2. Step 2: Convert to fraction form
    212,813,320/320,742,162 = 320,742,162/x
  3. Step 3: Cross multiply
    212,813,320x = 320,742,162 × 320,742,162
  4. Step 4: Simplify right side
    212,813,320x = 102,875,534,484,434,240
  5. Step 5: Solve for x
    x = 102,875,534,484,434,240/212,813,320
  6. Step 6: Final answer
    x = 483,407,403.66

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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.