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Finding the Third Proportional to 145,868.34 and 316,659.38

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Solution

The third proportional to 145,868.34 and 316,659.38 is: 687,422.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,868.34 : 316,659.38 = 316,659.38 : x
  2. Step 2: Convert to fraction form
    145,868.34/316,659.38 = 316,659.38/x
  3. Step 3: Cross multiply
    145,868.34x = 316,659.38 × 316,659.38
  4. Step 4: Simplify right side
    145,868.34x = 100,273,159,775.39
  5. Step 5: Solve for x
    x = 100,273,159,775.39/145,868.34
  6. Step 6: Final answer
    x = 687,422.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.