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Finding the Third Proportional to 305,901 and 631,468.50

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Solution

The third proportional to 305,901 and 631,468.50 is: 1,303,534.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,901 : 631,468.50 = 631,468.50 : x
  2. Step 2: Convert to fraction form
    305,901/631,468.50 = 631,468.50/x
  3. Step 3: Cross multiply
    305,901x = 631,468.50 × 631,468.50
  4. Step 4: Simplify right side
    305,901x = 398,752,466,492.25
  5. Step 5: Solve for x
    x = 398,752,466,492.25/305,901
  6. Step 6: Final answer
    x = 1,303,534.37

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.