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Finding the Third Proportional to 58,639 and 90,855

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Solution

The third proportional to 58,639 and 90,855 is: 140,770.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,639 : 90,855 = 90,855 : x
  2. Step 2: Convert to fraction form
    58,639/90,855 = 90,855/x
  3. Step 3: Cross multiply
    58,639x = 90,855 × 90,855
  4. Step 4: Simplify right side
    58,639x = 8,254,631,025
  5. Step 5: Solve for x
    x = 8,254,631,025/58,639
  6. Step 6: Final answer
    x = 140,770.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.