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Finding the Third Proportional to 310,300 and 675,896

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Solution

The third proportional to 310,300 and 675,896 is: 1,472,237.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,300 : 675,896 = 675,896 : x
  2. Step 2: Convert to fraction form
    310,300/675,896 = 675,896/x
  3. Step 3: Cross multiply
    310,300x = 675,896 × 675,896
  4. Step 4: Simplify right side
    310,300x = 456,835,402,816
  5. Step 5: Solve for x
    x = 456,835,402,816/310,300
  6. Step 6: Final answer
    x = 1,472,237.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.