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Finding the Third Proportional to 720,945,447 and 1,480,110,381

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Solution

The third proportional to 720,945,447 and 1,480,110,381 is: 3,038,685,865.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,945,447 : 1,480,110,381 = 1,480,110,381 : x
  2. Step 2: Convert to fraction form
    720,945,447/1,480,110,381 = 1,480,110,381/x
  3. Step 3: Cross multiply
    720,945,447x = 1,480,110,381 × 1,480,110,381
  4. Step 4: Simplify right side
    720,945,447x = 2,190,726,739,943,965,184
  5. Step 5: Solve for x
    x = 2,190,726,739,943,965,184/720,945,447
  6. Step 6: Final answer
    x = 3,038,685,865.98

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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.