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Finding the Third Proportional to 473,746 and 728,916

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Solution

The third proportional to 473,746 and 728,916 is: 1,121,526.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,746 : 728,916 = 728,916 : x
  2. Step 2: Convert to fraction form
    473,746/728,916 = 728,916/x
  3. Step 3: Cross multiply
    473,746x = 728,916 × 728,916
  4. Step 4: Simplify right side
    473,746x = 531,318,535,056
  5. Step 5: Solve for x
    x = 531,318,535,056/473,746
  6. Step 6: Final answer
    x = 1,121,526.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.