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Finding the Third Proportional to 52,339,788 and 114,197,128

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Solution

The third proportional to 52,339,788 and 114,197,128 is: 249,160,047.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,339,788 : 114,197,128 = 114,197,128 : x
  2. Step 2: Convert to fraction form
    52,339,788/114,197,128 = 114,197,128/x
  3. Step 3: Cross multiply
    52,339,788x = 114,197,128 × 114,197,128
  4. Step 4: Simplify right side
    52,339,788x = 13,040,984,043,448,384
  5. Step 5: Solve for x
    x = 13,040,984,043,448,384/52,339,788
  6. Step 6: Final answer
    x = 249,160,047.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.