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Finding the Third Proportional to 3,434,130 and 6,781,828.50

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Solution

The third proportional to 3,434,130 and 6,781,828.50 is: 13,392,969.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,434,130 : 6,781,828.50 = 6,781,828.50 : x
  2. Step 2: Convert to fraction form
    3,434,130/6,781,828.50 = 6,781,828.50/x
  3. Step 3: Cross multiply
    3,434,130x = 6,781,828.50 × 6,781,828.50
  4. Step 4: Simplify right side
    3,434,130x = 45,993,197,803,412.25
  5. Step 5: Solve for x
    x = 45,993,197,803,412.25/3,434,130
  6. Step 6: Final answer
    x = 13,392,969.34

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.