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Finding the Third Proportional to 432,512 and 688,736

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Solution

The third proportional to 432,512 and 688,736 is: 1,096,749.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,512 : 688,736 = 688,736 : x
  2. Step 2: Convert to fraction form
    432,512/688,736 = 688,736/x
  3. Step 3: Cross multiply
    432,512x = 688,736 × 688,736
  4. Step 4: Simplify right side
    432,512x = 474,357,277,696
  5. Step 5: Solve for x
    x = 474,357,277,696/432,512
  6. Step 6: Final answer
    x = 1,096,749.40

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.