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Finding the Third Proportional to 69,423,678 and 148,073,769

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Solution

The third proportional to 69,423,678 and 148,073,769 is: 315,826,555.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,423,678 : 148,073,769 = 148,073,769 : x
  2. Step 2: Convert to fraction form
    69,423,678/148,073,769 = 148,073,769/x
  3. Step 3: Cross multiply
    69,423,678x = 148,073,769 × 148,073,769
  4. Step 4: Simplify right side
    69,423,678x = 21,925,841,065,865,360
  5. Step 5: Solve for x
    x = 21,925,841,065,865,360/69,423,678
  6. Step 6: Final answer
    x = 315,826,555.11

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.