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Finding the Third Proportional to 245,916 and 378,528

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Solution

The third proportional to 245,916 and 378,528 is: 582,651.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,916 : 378,528 = 378,528 : x
  2. Step 2: Convert to fraction form
    245,916/378,528 = 378,528/x
  3. Step 3: Cross multiply
    245,916x = 378,528 × 378,528
  4. Step 4: Simplify right side
    245,916x = 143,283,446,784
  5. Step 5: Solve for x
    x = 143,283,446,784/245,916
  6. Step 6: Final answer
    x = 582,651.99

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.