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Finding the Third Proportional to 258,125.06 and 553,615.59

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Solution

The third proportional to 258,125.06 and 553,615.59 is: 1,187,371.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,125.06 : 553,615.59 = 553,615.59 : x
  2. Step 2: Convert to fraction form
    258,125.06/553,615.59 = 553,615.59/x
  3. Step 3: Cross multiply
    258,125.06x = 553,615.59 × 553,615.59
  4. Step 4: Simplify right side
    258,125.06x = 306,490,225,643.17
  5. Step 5: Solve for x
    x = 306,490,225,643.17/258,125.06
  6. Step 6: Final answer
    x = 1,187,371.05

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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.