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Finding the Third Proportional to 136,177,114.50 and 282,043,904.25

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Solution

The third proportional to 136,177,114.50 and 282,043,904.25 is: 584,156,627.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,177,114.50 : 282,043,904.25 = 282,043,904.25 : x
  2. Step 2: Convert to fraction form
    136,177,114.50/282,043,904.25 = 282,043,904.25/x
  3. Step 3: Cross multiply
    136,177,114.50x = 282,043,904.25 × 282,043,904.25
  4. Step 4: Simplify right side
    136,177,114.50x = 79,548,763,924,583,168
  5. Step 5: Solve for x
    x = 79,548,763,924,583,168/136,177,114.50
  6. Step 6: Final answer
    x = 584,156,627.32

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.