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Finding the Third Proportional to 338,972 and 464,803

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Solution

The third proportional to 338,972 and 464,803 is: 637,344.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,972 : 464,803 = 464,803 : x
  2. Step 2: Convert to fraction form
    338,972/464,803 = 464,803/x
  3. Step 3: Cross multiply
    338,972x = 464,803 × 464,803
  4. Step 4: Simplify right side
    338,972x = 216,041,828,809
  5. Step 5: Solve for x
    x = 216,041,828,809/338,972
  6. Step 6: Final answer
    x = 637,344.17

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.