Home / 212,813,314.88-320,742,154.69

Finding the Third Proportional to 212,813,314.88 and 320,742,154.69

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Solution

The third proportional to 212,813,314.88 and 320,742,154.69 is: 483,407,393.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,813,314.88 : 320,742,154.69 = 320,742,154.69 : x
  2. Step 2: Convert to fraction form
    212,813,314.88/320,742,154.69 = 320,742,154.69/x
  3. Step 3: Cross multiply
    212,813,314.88x = 320,742,154.69 × 320,742,154.69
  4. Step 4: Simplify right side
    212,813,314.88x = 102,875,529,793,580,176
  5. Step 5: Solve for x
    x = 102,875,529,793,580,176/212,813,314.88
  6. Step 6: Final answer
    x = 483,407,393.25

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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.