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Finding the Third Proportional to 218,960,235 and 306,119,826

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Solution

The third proportional to 218,960,235 and 306,119,826 is: 427,974,275.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,960,235 : 306,119,826 = 306,119,826 : x
  2. Step 2: Convert to fraction form
    218,960,235/306,119,826 = 306,119,826/x
  3. Step 3: Cross multiply
    218,960,235x = 306,119,826 × 306,119,826
  4. Step 4: Simplify right side
    218,960,235x = 93,709,347,870,270,272
  5. Step 5: Solve for x
    x = 93,709,347,870,270,272/218,960,235
  6. Step 6: Final answer
    x = 427,974,275.19

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.