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Finding the Third Proportional to 145,610 and 318,158

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Solution

The third proportional to 145,610 and 318,158 is: 695,175.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,610 : 318,158 = 318,158 : x
  2. Step 2: Convert to fraction form
    145,610/318,158 = 318,158/x
  3. Step 3: Cross multiply
    145,610x = 318,158 × 318,158
  4. Step 4: Simplify right side
    145,610x = 101,224,512,964
  5. Step 5: Solve for x
    x = 101,224,512,964/145,610
  6. Step 6: Final answer
    x = 695,175.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.