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Finding the Third Proportional to 330,119 and 485,792

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Solution

The third proportional to 330,119 and 485,792 is: 714,875.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,119 : 485,792 = 485,792 : x
  2. Step 2: Convert to fraction form
    330,119/485,792 = 485,792/x
  3. Step 3: Cross multiply
    330,119x = 485,792 × 485,792
  4. Step 4: Simplify right side
    330,119x = 235,993,867,264
  5. Step 5: Solve for x
    x = 235,993,867,264/330,119
  6. Step 6: Final answer
    x = 714,875.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.