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Finding the Third Proportional to 320,751 and 448,428

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Solution

The third proportional to 320,751 and 448,428 is: 626,927.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,751 : 448,428 = 448,428 : x
  2. Step 2: Convert to fraction form
    320,751/448,428 = 448,428/x
  3. Step 3: Cross multiply
    320,751x = 448,428 × 448,428
  4. Step 4: Simplify right side
    320,751x = 201,087,671,184
  5. Step 5: Solve for x
    x = 201,087,671,184/320,751
  6. Step 6: Final answer
    x = 626,927.65

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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.