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Finding the Third Proportional to 1,289,859,964 and 1,945,480,018

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Solution

The third proportional to 1,289,859,964 and 1,945,480,018 is: 2,934,343,731.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289,859,964 : 1,945,480,018 = 1,945,480,018 : x
  2. Step 2: Convert to fraction form
    1,289,859,964/1,945,480,018 = 1,945,480,018/x
  3. Step 3: Cross multiply
    1,289,859,964x = 1,945,480,018 × 1,945,480,018
  4. Step 4: Simplify right side
    1,289,859,964x = 3,784,892,500,437,280,256
  5. Step 5: Solve for x
    x = 3,784,892,500,437,280,256/1,289,859,964
  6. Step 6: Final answer
    x = 2,934,343,731.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.