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Finding the Third Proportional to 329,492 and 723,136

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Solution

The third proportional to 329,492 and 723,136 is: 1,587,066.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,492 : 723,136 = 723,136 : x
  2. Step 2: Convert to fraction form
    329,492/723,136 = 723,136/x
  3. Step 3: Cross multiply
    329,492x = 723,136 × 723,136
  4. Step 4: Simplify right side
    329,492x = 522,925,674,496
  5. Step 5: Solve for x
    x = 522,925,674,496/329,492
  6. Step 6: Final answer
    x = 1,587,066.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.