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Finding the Third Proportional to 28,520 and 61,038

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Solution

The third proportional to 28,520 and 61,038 is: 130,632.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,520 : 61,038 = 61,038 : x
  2. Step 2: Convert to fraction form
    28,520/61,038 = 61,038/x
  3. Step 3: Cross multiply
    28,520x = 61,038 × 61,038
  4. Step 4: Simplify right side
    28,520x = 3,725,637,444
  5. Step 5: Solve for x
    x = 3,725,637,444/28,520
  6. Step 6: Final answer
    x = 130,632.45

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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.