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Finding the Third Proportional to 330,912 and 506,160

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Solution

The third proportional to 330,912 and 506,160 is: 774,217.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,912 : 506,160 = 506,160 : x
  2. Step 2: Convert to fraction form
    330,912/506,160 = 506,160/x
  3. Step 3: Cross multiply
    330,912x = 506,160 × 506,160
  4. Step 4: Simplify right side
    330,912x = 256,197,945,600
  5. Step 5: Solve for x
    x = 256,197,945,600/330,912
  6. Step 6: Final answer
    x = 774,217.75

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.