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Finding the Third Proportional to 211,983,858 and 319,037,211

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Solution

The third proportional to 211,983,858 and 319,037,211 is: 480,153,267.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,983,858 : 319,037,211 = 319,037,211 : x
  2. Step 2: Convert to fraction form
    211,983,858/319,037,211 = 319,037,211/x
  3. Step 3: Cross multiply
    211,983,858x = 319,037,211 × 319,037,211
  4. Step 4: Simplify right side
    211,983,858x = 101,784,742,002,658,528
  5. Step 5: Solve for x
    x = 101,784,742,002,658,528/211,983,858
  6. Step 6: Final answer
    x = 480,153,267.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.