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Finding the Third Proportional to 258,107.77 and 553,570.45

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Solution

The third proportional to 258,107.77 and 553,570.45 is: 1,187,256.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,107.77 : 553,570.45 = 553,570.45 : x
  2. Step 2: Convert to fraction form
    258,107.77/553,570.45 = 553,570.45/x
  3. Step 3: Cross multiply
    258,107.77x = 553,570.45 × 553,570.45
  4. Step 4: Simplify right side
    258,107.77x = 306,440,246,573.02
  5. Step 5: Solve for x
    x = 306,440,246,573.02/258,107.77
  6. Step 6: Final answer
    x = 1,187,256.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.