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Finding the Third Proportional to 94,844,433.94 and 142,266,641.63

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Solution

The third proportional to 94,844,433.94 and 142,266,641.63 is: 213,399,948.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,844,433.94 : 142,266,641.63 = 142,266,641.63 : x
  2. Step 2: Convert to fraction form
    94,844,433.94/142,266,641.63 = 142,266,641.63/x
  3. Step 3: Cross multiply
    94,844,433.94x = 142,266,641.63 × 142,266,641.63
  4. Step 4: Simplify right side
    94,844,433.94x = 20,239,797,319,256,184
  5. Step 5: Solve for x
    x = 20,239,797,319,256,184/94,844,433.94
  6. Step 6: Final answer
    x = 213,399,948.52

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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.