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Finding the Third Proportional to 30,663,966 and 67,549,947

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Solution

The third proportional to 30,663,966 and 67,549,947 is: 148,806,430.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,663,966 : 67,549,947 = 67,549,947 : x
  2. Step 2: Convert to fraction form
    30,663,966/67,549,947 = 67,549,947/x
  3. Step 3: Cross multiply
    30,663,966x = 67,549,947 × 67,549,947
  4. Step 4: Simplify right side
    30,663,966x = 4,562,995,339,702,809
  5. Step 5: Solve for x
    x = 4,562,995,339,702,809/30,663,966
  6. Step 6: Final answer
    x = 148,806,430.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.