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Finding the Third Proportional to 55,368 and 129,325.50

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Solution

The third proportional to 55,368 and 129,325.50 is: 302,071.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,368 : 129,325.50 = 129,325.50 : x
  2. Step 2: Convert to fraction form
    55,368/129,325.50 = 129,325.50/x
  3. Step 3: Cross multiply
    55,368x = 129,325.50 × 129,325.50
  4. Step 4: Simplify right side
    55,368x = 16,725,084,950.25
  5. Step 5: Solve for x
    x = 16,725,084,950.25/55,368
  6. Step 6: Final answer
    x = 302,071.32

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.