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Finding the Third Proportional to 66,788.93 and 139,088.07

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Solution

The third proportional to 66,788.93 and 139,088.07 is: 289,651.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,788.93 : 139,088.07 = 139,088.07 : x
  2. Step 2: Convert to fraction form
    66,788.93/139,088.07 = 139,088.07/x
  3. Step 3: Cross multiply
    66,788.93x = 139,088.07 × 139,088.07
  4. Step 4: Simplify right side
    66,788.93x = 19,345,492,389.88
  5. Step 5: Solve for x
    x = 19,345,492,389.88/66,788.93
  6. Step 6: Final answer
    x = 289,651.18

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.