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Finding the Third Proportional to 198,220,915.50 and 434,559,619.50

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Solution

The third proportional to 198,220,915.50 and 434,559,619.50 is: 952,684,848.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,220,915.50 : 434,559,619.50 = 434,559,619.50 : x
  2. Step 2: Convert to fraction form
    198,220,915.50/434,559,619.50 = 434,559,619.50/x
  3. Step 3: Cross multiply
    198,220,915.50x = 434,559,619.50 × 434,559,619.50
  4. Step 4: Simplify right side
    198,220,915.50x = 188,842,062,899,984,768
  5. Step 5: Solve for x
    x = 188,842,062,899,984,768/198,220,915.50
  6. Step 6: Final answer
    x = 952,684,848.74

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.