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Finding the Third Proportional to 9,779,976 and 21,241,368

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Solution

The third proportional to 9,779,976 and 21,241,368 is: 46,134,644.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,779,976 : 21,241,368 = 21,241,368 : x
  2. Step 2: Convert to fraction form
    9,779,976/21,241,368 = 21,241,368/x
  3. Step 3: Cross multiply
    9,779,976x = 21,241,368 × 21,241,368
  4. Step 4: Simplify right side
    9,779,976x = 451,195,714,511,424
  5. Step 5: Solve for x
    x = 451,195,714,511,424/9,779,976
  6. Step 6: Final answer
    x = 46,134,644.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.