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Finding the Third Proportional to 30,281,196 and 66,424,432.50

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Solution

The third proportional to 30,281,196 and 66,424,432.50 is: 145,707,759.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,281,196 : 66,424,432.50 = 66,424,432.50 : x
  2. Step 2: Convert to fraction form
    30,281,196/66,424,432.50 = 66,424,432.50/x
  3. Step 3: Cross multiply
    30,281,196x = 66,424,432.50 × 66,424,432.50
  4. Step 4: Simplify right side
    30,281,196x = 4,412,205,232,947,056
  5. Step 5: Solve for x
    x = 4,412,205,232,947,056/30,281,196
  6. Step 6: Final answer
    x = 145,707,759.79

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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.