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Finding the Third Proportional to 211,784,685 and 309,549,384

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Solution

The third proportional to 211,784,685 and 309,549,384 is: 452,444,524.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,784,685 : 309,549,384 = 309,549,384 : x
  2. Step 2: Convert to fraction form
    211,784,685/309,549,384 = 309,549,384/x
  3. Step 3: Cross multiply
    211,784,685x = 309,549,384 × 309,549,384
  4. Step 4: Simplify right side
    211,784,685x = 95,820,821,134,779,456
  5. Step 5: Solve for x
    x = 95,820,821,134,779,456/211,784,685
  6. Step 6: Final answer
    x = 452,444,524.66

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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.