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Finding the Third Proportional to 1,279,799,921 and 1,911,313,465

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Solution

The third proportional to 1,279,799,921 and 1,911,313,465 is: 2,854,445,528.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279,799,921 : 1,911,313,465 = 1,911,313,465 : x
  2. Step 2: Convert to fraction form
    1,279,799,921/1,911,313,465 = 1,911,313,465/x
  3. Step 3: Cross multiply
    1,279,799,921x = 1,911,313,465 × 1,911,313,465
  4. Step 4: Simplify right side
    1,279,799,921x = 3,653,119,161,490,306,048
  5. Step 5: Solve for x
    x = 3,653,119,161,490,306,048/1,279,799,921
  6. Step 6: Final answer
    x = 2,854,445,528.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.