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Finding the Third Proportional to 720,945,612 and 1,480,110,732

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Solution

The third proportional to 720,945,612 and 1,480,110,732 is: 3,038,686,611.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,945,612 : 1,480,110,732 = 1,480,110,732 : x
  2. Step 2: Convert to fraction form
    720,945,612/1,480,110,732 = 1,480,110,732/x
  3. Step 3: Cross multiply
    720,945,612x = 1,480,110,732 × 1,480,110,732
  4. Step 4: Simplify right side
    720,945,612x = 2,190,727,778,981,575,936
  5. Step 5: Solve for x
    x = 2,190,727,778,981,575,936/720,945,612
  6. Step 6: Final answer
    x = 3,038,686,611.75

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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.