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Finding the Third Proportional to 321,664 and 702,944

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Solution

The third proportional to 321,664 and 702,944 is: 1,536,169.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,664 : 702,944 = 702,944 : x
  2. Step 2: Convert to fraction form
    321,664/702,944 = 702,944/x
  3. Step 3: Cross multiply
    321,664x = 702,944 × 702,944
  4. Step 4: Simplify right side
    321,664x = 494,130,267,136
  5. Step 5: Solve for x
    x = 494,130,267,136/321,664
  6. Step 6: Final answer
    x = 1,536,169.01

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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.