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Finding the Third Proportional to 103,547 and 226,480

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Solution

The third proportional to 103,547 and 226,480 is: 495,361.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,547 : 226,480 = 226,480 : x
  2. Step 2: Convert to fraction form
    103,547/226,480 = 226,480/x
  3. Step 3: Cross multiply
    103,547x = 226,480 × 226,480
  4. Step 4: Simplify right side
    103,547x = 51,293,190,400
  5. Step 5: Solve for x
    x = 51,293,190,400/103,547
  6. Step 6: Final answer
    x = 495,361.43

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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.