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Finding the Third Proportional to 290,286,360 and 449,470,080

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Solution

The third proportional to 290,286,360 and 449,470,080 is: 695,945,041.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,286,360 : 449,470,080 = 449,470,080 : x
  2. Step 2: Convert to fraction form
    290,286,360/449,470,080 = 449,470,080/x
  3. Step 3: Cross multiply
    290,286,360x = 449,470,080 × 449,470,080
  4. Step 4: Simplify right side
    290,286,360x = 202,023,352,815,206,400
  5. Step 5: Solve for x
    x = 202,023,352,815,206,400/290,286,360
  6. Step 6: Final answer
    x = 695,945,041.36

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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.