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Finding the Third Proportional to 211,784,683.50 and 309,549,381

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Solution

The third proportional to 211,784,683.50 and 309,549,381 is: 452,444,519.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,784,683.50 : 309,549,381 = 309,549,381 : x
  2. Step 2: Convert to fraction form
    211,784,683.50/309,549,381 = 309,549,381/x
  3. Step 3: Cross multiply
    211,784,683.50x = 309,549,381 × 309,549,381
  4. Step 4: Simplify right side
    211,784,683.50x = 95,820,819,277,483,168
  5. Step 5: Solve for x
    x = 95,820,819,277,483,168/211,784,683.50
  6. Step 6: Final answer
    x = 452,444,519.09

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.