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Finding the Third Proportional to 52,946,202.50 and 114,684,199

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Solution

The third proportional to 52,946,202.50 and 114,684,199 is: 248,411,876.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,946,202.50 : 114,684,199 = 114,684,199 : x
  2. Step 2: Convert to fraction form
    52,946,202.50/114,684,199 = 114,684,199/x
  3. Step 3: Cross multiply
    52,946,202.50x = 114,684,199 × 114,684,199
  4. Step 4: Simplify right side
    52,946,202.50x = 13,152,465,500,271,600
  5. Step 5: Solve for x
    x = 13,152,465,500,271,600/52,946,202.50
  6. Step 6: Final answer
    x = 248,411,876.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.