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Finding the Third Proportional to 320,756 and 448,437

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Solution

The third proportional to 320,756 and 448,437 is: 626,943.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,756 : 448,437 = 448,437 : x
  2. Step 2: Convert to fraction form
    320,756/448,437 = 448,437/x
  3. Step 3: Cross multiply
    320,756x = 448,437 × 448,437
  4. Step 4: Simplify right side
    320,756x = 201,095,742,969
  5. Step 5: Solve for x
    x = 201,095,742,969/320,756
  6. Step 6: Final answer
    x = 626,943.04

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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.