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Finding the Third Proportional to 145,571 and 318,297

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Solution

The third proportional to 145,571 and 318,297 is: 695,969.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,571 : 318,297 = 318,297 : x
  2. Step 2: Convert to fraction form
    145,571/318,297 = 318,297/x
  3. Step 3: Cross multiply
    145,571x = 318,297 × 318,297
  4. Step 4: Simplify right side
    145,571x = 101,312,980,209
  5. Step 5: Solve for x
    x = 101,312,980,209/145,571
  6. Step 6: Final answer
    x = 695,969.53

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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.