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Finding the Third Proportional to 153,390 and 314,215

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Solution

The third proportional to 153,390 and 314,215 is: 643,660.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,390 : 314,215 = 314,215 : x
  2. Step 2: Convert to fraction form
    153,390/314,215 = 314,215/x
  3. Step 3: Cross multiply
    153,390x = 314,215 × 314,215
  4. Step 4: Simplify right side
    153,390x = 98,731,066,225
  5. Step 5: Solve for x
    x = 98,731,066,225/153,390
  6. Step 6: Final answer
    x = 643,660.38

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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.