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Finding the Third Proportional to 53,303,186,322 and 115,782,114,852

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Solution

The third proportional to 53,303,186,322 and 115,782,114,852 is: 251,495,249,057.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,303,186,322 : 115,782,114,852 = 115,782,114,852 : x
  2. Step 2: Convert to fraction form
    53,303,186,322/115,782,114,852 = 115,782,114,852/x
  3. Step 3: Cross multiply
    53,303,186,322x = 115,782,114,852 × 115,782,114,852
  4. Step 4: Simplify right side
    53,303,186,322x = 13,405,498,119,601,719,869,440
  5. Step 5: Solve for x
    x = 13,405,498,119,601,719,869,440/53,303,186,322
  6. Step 6: Final answer
    x = 251,495,249,057.35

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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.