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Finding the Third Proportional to 870,439,758 and 1,911,879,702.75

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Solution

The third proportional to 870,439,758 and 1,911,879,702.75 is: 4,199,353,216.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,439,758 : 1,911,879,702.75 = 1,911,879,702.75 : x
  2. Step 2: Convert to fraction form
    870,439,758/1,911,879,702.75 = 1,911,879,702.75/x
  3. Step 3: Cross multiply
    870,439,758x = 1,911,879,702.75 × 1,911,879,702.75
  4. Step 4: Simplify right side
    870,439,758x = 3,655,283,997,787,428,352
  5. Step 5: Solve for x
    x = 3,655,283,997,787,428,352/870,439,758
  6. Step 6: Final answer
    x = 4,199,353,216.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.