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Finding the Third Proportional to 340,492,515.75 and 708,159,789

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Solution

The third proportional to 340,492,515.75 and 708,159,789 is: 1,472,837,914.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,492,515.75 : 708,159,789 = 708,159,789 : x
  2. Step 2: Convert to fraction form
    340,492,515.75/708,159,789 = 708,159,789/x
  3. Step 3: Cross multiply
    340,492,515.75x = 708,159,789 × 708,159,789
  4. Step 4: Simplify right side
    340,492,515.75x = 501,490,286,756,524,544
  5. Step 5: Solve for x
    x = 501,490,286,756,524,544/340,492,515.75
  6. Step 6: Final answer
    x = 1,472,837,914.37

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.