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Finding the Third Proportional to 129,852,615 and 194,369,386.50

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Solution

The third proportional to 129,852,615 and 194,369,386.50 is: 290,941,067.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,852,615 : 194,369,386.50 = 194,369,386.50 : x
  2. Step 2: Convert to fraction form
    129,852,615/194,369,386.50 = 194,369,386.50/x
  3. Step 3: Cross multiply
    129,852,615x = 194,369,386.50 × 194,369,386.50
  4. Step 4: Simplify right side
    129,852,615x = 37,779,458,408,386,384
  5. Step 5: Solve for x
    x = 37,779,458,408,386,384/129,852,615
  6. Step 6: Final answer
    x = 290,941,067.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.