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Finding the Third Proportional to 78,154,816 and 119,553,120

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Solution

The third proportional to 78,154,816 and 119,553,120 is: 182,879,945.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,154,816 : 119,553,120 = 119,553,120 : x
  2. Step 2: Convert to fraction form
    78,154,816/119,553,120 = 119,553,120/x
  3. Step 3: Cross multiply
    78,154,816x = 119,553,120 × 119,553,120
  4. Step 4: Simplify right side
    78,154,816x = 14,292,948,501,734,400
  5. Step 5: Solve for x
    x = 14,292,948,501,734,400/78,154,816
  6. Step 6: Final answer
    x = 182,879,945.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.