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Finding the Third Proportional to 145,218 and 318,380

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Solution

The third proportional to 145,218 and 318,380 is: 698,025.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,218 : 318,380 = 318,380 : x
  2. Step 2: Convert to fraction form
    145,218/318,380 = 318,380/x
  3. Step 3: Cross multiply
    145,218x = 318,380 × 318,380
  4. Step 4: Simplify right side
    145,218x = 101,365,824,400
  5. Step 5: Solve for x
    x = 101,365,824,400/145,218
  6. Step 6: Final answer
    x = 698,025.21

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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.