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Finding the Third Proportional to 103,460.63 and 221,680.13

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Solution

The third proportional to 103,460.63 and 221,680.13 is: 474,983.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,460.63 : 221,680.13 = 221,680.13 : x
  2. Step 2: Convert to fraction form
    103,460.63/221,680.13 = 221,680.13/x
  3. Step 3: Cross multiply
    103,460.63x = 221,680.13 × 221,680.13
  4. Step 4: Simplify right side
    103,460.63x = 49,142,077,820.02
  5. Step 5: Solve for x
    x = 49,142,077,820.02/103,460.63
  6. Step 6: Final answer
    x = 474,983.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.