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Finding the Third Proportional to 326,781 and 716,553

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Solution

The third proportional to 326,781 and 716,553 is: 1,571,230.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,781 : 716,553 = 716,553 : x
  2. Step 2: Convert to fraction form
    326,781/716,553 = 716,553/x
  3. Step 3: Cross multiply
    326,781x = 716,553 × 716,553
  4. Step 4: Simplify right side
    326,781x = 513,448,201,809
  5. Step 5: Solve for x
    x = 513,448,201,809/326,781
  6. Step 6: Final answer
    x = 1,571,230.28

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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.