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Finding the Third Proportional to 178,646,515.50 and 386,971,471.50

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Solution

The third proportional to 178,646,515.50 and 386,971,471.50 is: 838,230,285.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,646,515.50 : 386,971,471.50 = 386,971,471.50 : x
  2. Step 2: Convert to fraction form
    178,646,515.50/386,971,471.50 = 386,971,471.50/x
  3. Step 3: Cross multiply
    178,646,515.50x = 386,971,471.50 × 386,971,471.50
  4. Step 4: Simplify right side
    178,646,515.50x = 149,746,919,754,875,328
  5. Step 5: Solve for x
    x = 149,746,919,754,875,328/178,646,515.50
  6. Step 6: Final answer
    x = 838,230,285.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.