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Finding the Third Proportional to 258,913.13 and 553,807.13

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Solution

The third proportional to 258,913.13 and 553,807.13 is: 1,184,576.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,913.13 : 553,807.13 = 553,807.13 : x
  2. Step 2: Convert to fraction form
    258,913.13/553,807.13 = 553,807.13/x
  3. Step 3: Cross multiply
    258,913.13x = 553,807.13 × 553,807.13
  4. Step 4: Simplify right side
    258,913.13x = 306,702,331,700.77
  5. Step 5: Solve for x
    x = 306,702,331,700.77/258,913.13
  6. Step 6: Final answer
    x = 1,184,576.22

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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.