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Finding the Third Proportional to 68,900.63 and 147,641.63

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Solution

The third proportional to 68,900.63 and 147,641.63 is: 316,369.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,900.63 : 147,641.63 = 147,641.63 : x
  2. Step 2: Convert to fraction form
    68,900.63/147,641.63 = 147,641.63/x
  3. Step 3: Cross multiply
    68,900.63x = 147,641.63 × 147,641.63
  4. Step 4: Simplify right side
    68,900.63x = 21,798,049,432.64
  5. Step 5: Solve for x
    x = 21,798,049,432.64/68,900.63
  6. Step 6: Final answer
    x = 316,369.40

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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.