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Finding the Third Proportional to 360,472,709 and 740,055,147

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Solution

The third proportional to 360,472,709 and 740,055,147 is: 1,519,342,815.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,472,709 : 740,055,147 = 740,055,147 : x
  2. Step 2: Convert to fraction form
    360,472,709/740,055,147 = 740,055,147/x
  3. Step 3: Cross multiply
    360,472,709x = 740,055,147 × 740,055,147
  4. Step 4: Simplify right side
    360,472,709x = 547,681,620,601,191,616
  5. Step 5: Solve for x
    x = 547,681,620,601,191,616/360,472,709
  6. Step 6: Final answer
    x = 1,519,342,815.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.