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Finding the Third Proportional to 145,671.47 and 318,361.22

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Solution

The third proportional to 145,671.47 and 318,361.22 is: 695,770.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,671.47 : 318,361.22 = 318,361.22 : x
  2. Step 2: Convert to fraction form
    145,671.47/318,361.22 = 318,361.22/x
  3. Step 3: Cross multiply
    145,671.47x = 318,361.22 × 318,361.22
  4. Step 4: Simplify right side
    145,671.47x = 101,353,865,603.99
  5. Step 5: Solve for x
    x = 101,353,865,603.99/145,671.47
  6. Step 6: Final answer
    x = 695,770.19

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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.