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Finding the Third Proportional to 310,724 and 662,120

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Solution

The third proportional to 310,724 and 662,120 is: 1,410,907.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,724 : 662,120 = 662,120 : x
  2. Step 2: Convert to fraction form
    310,724/662,120 = 662,120/x
  3. Step 3: Cross multiply
    310,724x = 662,120 × 662,120
  4. Step 4: Simplify right side
    310,724x = 438,402,894,400
  5. Step 5: Solve for x
    x = 438,402,894,400/310,724
  6. Step 6: Final answer
    x = 1,410,907.73

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.