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Finding the Third Proportional to 235,139 and 336,117

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Solution

The third proportional to 235,139 and 336,117 is: 480,458.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,139 : 336,117 = 336,117 : x
  2. Step 2: Convert to fraction form
    235,139/336,117 = 336,117/x
  3. Step 3: Cross multiply
    235,139x = 336,117 × 336,117
  4. Step 4: Simplify right side
    235,139x = 112,974,637,689
  5. Step 5: Solve for x
    x = 112,974,637,689/235,139
  6. Step 6: Final answer
    x = 480,458.95

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.