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Finding the Third Proportional to 153,381 and 314,199

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Solution

The third proportional to 153,381 and 314,199 is: 643,632.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,381 : 314,199 = 314,199 : x
  2. Step 2: Convert to fraction form
    153,381/314,199 = 314,199/x
  3. Step 3: Cross multiply
    153,381x = 314,199 × 314,199
  4. Step 4: Simplify right side
    153,381x = 98,721,011,601
  5. Step 5: Solve for x
    x = 98,721,011,601/153,381
  6. Step 6: Final answer
    x = 643,632.60

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.