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Finding the Third Proportional to 212,156,518 and 316,928,178

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Solution

The third proportional to 212,156,518 and 316,928,178 is: 473,440,415.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,156,518 : 316,928,178 = 316,928,178 : x
  2. Step 2: Convert to fraction form
    212,156,518/316,928,178 = 316,928,178/x
  3. Step 3: Cross multiply
    212,156,518x = 316,928,178 × 316,928,178
  4. Step 4: Simplify right side
    212,156,518x = 100,443,470,010,399,680
  5. Step 5: Solve for x
    x = 100,443,470,010,399,680/212,156,518
  6. Step 6: Final answer
    x = 473,440,415.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.