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Finding the Third Proportional to 317,860 and 480,028

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Solution

The third proportional to 317,860 and 480,028 is: 724,931.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,860 : 480,028 = 480,028 : x
  2. Step 2: Convert to fraction form
    317,860/480,028 = 480,028/x
  3. Step 3: Cross multiply
    317,860x = 480,028 × 480,028
  4. Step 4: Simplify right side
    317,860x = 230,426,880,784
  5. Step 5: Solve for x
    x = 230,426,880,784/317,860
  6. Step 6: Final answer
    x = 724,931.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.