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Finding the Third Proportional to 278,460 and 448,362

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Solution

The third proportional to 278,460 and 448,362 is: 721,929.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,460 : 448,362 = 448,362 : x
  2. Step 2: Convert to fraction form
    278,460/448,362 = 448,362/x
  3. Step 3: Cross multiply
    278,460x = 448,362 × 448,362
  4. Step 4: Simplify right side
    278,460x = 201,028,483,044
  5. Step 5: Solve for x
    x = 201,028,483,044/278,460
  6. Step 6: Final answer
    x = 721,929.48

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.