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Finding the Third Proportional to 307,280 and 460,928

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Solution

The third proportional to 307,280 and 460,928 is: 691,404.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,280 : 460,928 = 460,928 : x
  2. Step 2: Convert to fraction form
    307,280/460,928 = 460,928/x
  3. Step 3: Cross multiply
    307,280x = 460,928 × 460,928
  4. Step 4: Simplify right side
    307,280x = 212,454,621,184
  5. Step 5: Solve for x
    x = 212,454,621,184/307,280
  6. Step 6: Final answer
    x = 691,404.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.