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Finding the Third Proportional to 308,280 and 460,332

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Solution

The third proportional to 308,280 and 460,332 is: 687,380.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,280 : 460,332 = 460,332 : x
  2. Step 2: Convert to fraction form
    308,280/460,332 = 460,332/x
  3. Step 3: Cross multiply
    308,280x = 460,332 × 460,332
  4. Step 4: Simplify right side
    308,280x = 211,905,550,224
  5. Step 5: Solve for x
    x = 211,905,550,224/308,280
  6. Step 6: Final answer
    x = 687,380.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.