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Finding the Third Proportional to 320,780 and 448,468

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Solution

The third proportional to 320,780 and 448,468 is: 626,982.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,780 : 448,468 = 448,468 : x
  2. Step 2: Convert to fraction form
    320,780/448,468 = 448,468/x
  3. Step 3: Cross multiply
    320,780x = 448,468 × 448,468
  4. Step 4: Simplify right side
    320,780x = 201,123,547,024
  5. Step 5: Solve for x
    x = 201,123,547,024/320,780
  6. Step 6: Final answer
    x = 626,982.81

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.