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Finding the Third Proportional to 257,526 and 378,848.25

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Solution

The third proportional to 257,526 and 378,848.25 is: 557,326.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,526 : 378,848.25 = 378,848.25 : x
  2. Step 2: Convert to fraction form
    257,526/378,848.25 = 378,848.25/x
  3. Step 3: Cross multiply
    257,526x = 378,848.25 × 378,848.25
  4. Step 4: Simplify right side
    257,526x = 143,525,996,528.06
  5. Step 5: Solve for x
    x = 143,525,996,528.06/257,526
  6. Step 6: Final answer
    x = 557,326.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.