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Finding the Third Proportional to 248,963,139 and 400,016,758.50

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Solution

The third proportional to 248,963,139 and 400,016,758.50 is: 642,719,270.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,963,139 : 400,016,758.50 = 400,016,758.50 : x
  2. Step 2: Convert to fraction form
    248,963,139/400,016,758.50 = 400,016,758.50/x
  3. Step 3: Cross multiply
    248,963,139x = 400,016,758.50 × 400,016,758.50
  4. Step 4: Simplify right side
    248,963,139x = 160,013,407,080,847,328
  5. Step 5: Solve for x
    x = 160,013,407,080,847,328/248,963,139
  6. Step 6: Final answer
    x = 642,719,270.51

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.