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Finding the Third Proportional to 12,808,112.63 and 19,810,686.94

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Solution

The third proportional to 12,808,112.63 and 19,810,686.94 is: 30,641,775.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,808,112.63 : 19,810,686.94 = 19,810,686.94 : x
  2. Step 2: Convert to fraction form
    12,808,112.63/19,810,686.94 = 19,810,686.94/x
  3. Step 3: Cross multiply
    12,808,112.63x = 19,810,686.94 × 19,810,686.94
  4. Step 4: Simplify right side
    12,808,112.63x = 392,463,316,935,633.12
  5. Step 5: Solve for x
    x = 392,463,316,935,633.12/12,808,112.63
  6. Step 6: Final answer
    x = 30,641,775.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.