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Finding the Third Proportional to 54,547,908 and 121,202,780

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Solution

The third proportional to 54,547,908 and 121,202,780 is: 269,306,641.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,547,908 : 121,202,780 = 121,202,780 : x
  2. Step 2: Convert to fraction form
    54,547,908/121,202,780 = 121,202,780/x
  3. Step 3: Cross multiply
    54,547,908x = 121,202,780 × 121,202,780
  4. Step 4: Simplify right side
    54,547,908x = 14,690,113,879,728,400
  5. Step 5: Solve for x
    x = 14,690,113,879,728,400/54,547,908
  6. Step 6: Final answer
    x = 269,306,641.05

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.