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Finding the Third Proportional to 477,261 and 668,965.50

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Solution

The third proportional to 477,261 and 668,965.50 is: 937,673.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,261 : 668,965.50 = 668,965.50 : x
  2. Step 2: Convert to fraction form
    477,261/668,965.50 = 668,965.50/x
  3. Step 3: Cross multiply
    477,261x = 668,965.50 × 668,965.50
  4. Step 4: Simplify right side
    477,261x = 447,514,840,190.25
  5. Step 5: Solve for x
    x = 447,514,840,190.25/477,261
  6. Step 6: Final answer
    x = 937,673.18

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.