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Finding the Third Proportional to 8,378,046 and 12,807,639

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Solution

The third proportional to 8,378,046 and 12,807,639 is: 19,579,221.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,378,046 : 12,807,639 = 12,807,639 : x
  2. Step 2: Convert to fraction form
    8,378,046/12,807,639 = 12,807,639/x
  3. Step 3: Cross multiply
    8,378,046x = 12,807,639 × 12,807,639
  4. Step 4: Simplify right side
    8,378,046x = 164,035,616,754,321
  5. Step 5: Solve for x
    x = 164,035,616,754,321/8,378,046
  6. Step 6: Final answer
    x = 19,579,221.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.