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Finding the Third Proportional to 30,200,724 and 45,304,366.50

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Solution

The third proportional to 30,200,724 and 45,304,366.50 is: 67,961,470.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,200,724 : 45,304,366.50 = 45,304,366.50 : x
  2. Step 2: Convert to fraction form
    30,200,724/45,304,366.50 = 45,304,366.50/x
  3. Step 3: Cross multiply
    30,200,724x = 45,304,366.50 × 45,304,366.50
  4. Step 4: Simplify right side
    30,200,724x = 2,052,485,623,966,322.25
  5. Step 5: Solve for x
    x = 2,052,485,623,966,322.25/30,200,724
  6. Step 6: Final answer
    x = 67,961,470.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.