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Finding the Third Proportional to 1,078,122,496 and 2,319,663,140

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Solution

The third proportional to 1,078,122,496 and 2,319,663,140 is: 4,990,932,944.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078,122,496 : 2,319,663,140 = 2,319,663,140 : x
  2. Step 2: Convert to fraction form
    1,078,122,496/2,319,663,140 = 2,319,663,140/x
  3. Step 3: Cross multiply
    1,078,122,496x = 2,319,663,140 × 2,319,663,140
  4. Step 4: Simplify right side
    1,078,122,496x = 5,380,837,083,074,659,328
  5. Step 5: Solve for x
    x = 5,380,837,083,074,659,328/1,078,122,496
  6. Step 6: Final answer
    x = 4,990,932,944.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.