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Finding the Third Proportional to 212,776,630 and 323,455,139

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Solution

The third proportional to 212,776,630 and 323,455,139 is: 491,704,502.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,776,630 : 323,455,139 = 323,455,139 : x
  2. Step 2: Convert to fraction form
    212,776,630/323,455,139 = 323,455,139/x
  3. Step 3: Cross multiply
    212,776,630x = 323,455,139 × 323,455,139
  4. Step 4: Simplify right side
    212,776,630x = 104,623,226,945,509,328
  5. Step 5: Solve for x
    x = 104,623,226,945,509,328/212,776,630
  6. Step 6: Final answer
    x = 491,704,502.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.