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Finding the Third Proportional to 53,793,464,840 and 117,720,439,288

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Solution

The third proportional to 53,793,464,840 and 117,720,439,288 is: 257,616,828,872.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,793,464,840 : 117,720,439,288 = 117,720,439,288 : x
  2. Step 2: Convert to fraction form
    53,793,464,840/117,720,439,288 = 117,720,439,288/x
  3. Step 3: Cross multiply
    53,793,464,840x = 117,720,439,288 × 117,720,439,288
  4. Step 4: Simplify right side
    53,793,464,840x = 13,858,101,826,159,693,004,800
  5. Step 5: Solve for x
    x = 13,858,101,826,159,693,004,800/53,793,464,840
  6. Step 6: Final answer
    x = 257,616,828,872.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.