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Finding the Third Proportional to 145,175 and 216,201

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Solution

The third proportional to 145,175 and 216,201 is: 321,976.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,175 : 216,201 = 216,201 : x
  2. Step 2: Convert to fraction form
    145,175/216,201 = 216,201/x
  3. Step 3: Cross multiply
    145,175x = 216,201 × 216,201
  4. Step 4: Simplify right side
    145,175x = 46,742,872,401
  5. Step 5: Solve for x
    x = 46,742,872,401/145,175
  6. Step 6: Final answer
    x = 321,976.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.