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Finding the Third Proportional to 149,480 and 322,440

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Solution

The third proportional to 149,480 and 322,440 is: 695,528.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,480 : 322,440 = 322,440 : x
  2. Step 2: Convert to fraction form
    149,480/322,440 = 322,440/x
  3. Step 3: Cross multiply
    149,480x = 322,440 × 322,440
  4. Step 4: Simplify right side
    149,480x = 103,967,553,600
  5. Step 5: Solve for x
    x = 103,967,553,600/149,480
  6. Step 6: Final answer
    x = 695,528.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.