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Finding the Third Proportional to 148,980,804.75 and 320,730,520.50

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Solution

The third proportional to 148,980,804.75 and 320,730,520.50 is: 690,478,662.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,980,804.75 : 320,730,520.50 = 320,730,520.50 : x
  2. Step 2: Convert to fraction form
    148,980,804.75/320,730,520.50 = 320,730,520.50/x
  3. Step 3: Cross multiply
    148,980,804.75x = 320,730,520.50 × 320,730,520.50
  4. Step 4: Simplify right side
    148,980,804.75x = 102,868,066,780,200,928
  5. Step 5: Solve for x
    x = 102,868,066,780,200,928/148,980,804.75
  6. Step 6: Final answer
    x = 690,478,662.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.