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Finding the Third Proportional to 152,767,800 and 312,595,236

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Solution

The third proportional to 152,767,800 and 312,595,236 is: 639,635,980.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,767,800 : 312,595,236 = 312,595,236 : x
  2. Step 2: Convert to fraction form
    152,767,800/312,595,236 = 312,595,236/x
  3. Step 3: Cross multiply
    152,767,800x = 312,595,236 × 312,595,236
  4. Step 4: Simplify right side
    152,767,800x = 97,715,781,569,895,696
  5. Step 5: Solve for x
    x = 97,715,781,569,895,696/152,767,800
  6. Step 6: Final answer
    x = 639,635,980.68

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.