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Finding the Third Proportional to 308,024 and 460,780

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Solution

The third proportional to 308,024 and 460,780 is: 689,291.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,024 : 460,780 = 460,780 : x
  2. Step 2: Convert to fraction form
    308,024/460,780 = 460,780/x
  3. Step 3: Cross multiply
    308,024x = 460,780 × 460,780
  4. Step 4: Simplify right side
    308,024x = 212,318,208,400
  5. Step 5: Solve for x
    x = 212,318,208,400/308,024
  6. Step 6: Final answer
    x = 689,291.12

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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.