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Finding the Third Proportional to 7,707,780 and 16,788,264

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Solution

The third proportional to 7,707,780 and 16,788,264 is: 36,566,405.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707,780 : 16,788,264 = 16,788,264 : x
  2. Step 2: Convert to fraction form
    7,707,780/16,788,264 = 16,788,264/x
  3. Step 3: Cross multiply
    7,707,780x = 16,788,264 × 16,788,264
  4. Step 4: Simplify right side
    7,707,780x = 281,845,808,133,696
  5. Step 5: Solve for x
    x = 281,845,808,133,696/7,707,780
  6. Step 6: Final answer
    x = 36,566,405.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.