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Finding the Third Proportional to 432,492 and 688,710

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Solution

The third proportional to 432,492 and 688,710 is: 1,096,717.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,492 : 688,710 = 688,710 : x
  2. Step 2: Convert to fraction form
    432,492/688,710 = 688,710/x
  3. Step 3: Cross multiply
    432,492x = 688,710 × 688,710
  4. Step 4: Simplify right side
    432,492x = 474,321,464,100
  5. Step 5: Solve for x
    x = 474,321,464,100/432,492
  6. Step 6: Final answer
    x = 1,096,717.31

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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.