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Finding the Third Proportional to 211,252,680 and 453,742,254

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Solution

The third proportional to 211,252,680 and 453,742,254 is: 974,577,141.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,252,680 : 453,742,254 = 453,742,254 : x
  2. Step 2: Convert to fraction form
    211,252,680/453,742,254 = 453,742,254/x
  3. Step 3: Cross multiply
    211,252,680x = 453,742,254 × 453,742,254
  4. Step 4: Simplify right side
    211,252,680x = 205,882,033,065,000,512
  5. Step 5: Solve for x
    x = 205,882,033,065,000,512/211,252,680
  6. Step 6: Final answer
    x = 974,577,141.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.