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Finding the Third Proportional to 318,848,084 and 686,597,487.50

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Solution

The third proportional to 318,848,084 and 686,597,487.50 is: 1,478,497,546.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,848,084 : 686,597,487.50 = 686,597,487.50 : x
  2. Step 2: Convert to fraction form
    318,848,084/686,597,487.50 = 686,597,487.50/x
  3. Step 3: Cross multiply
    318,848,084x = 686,597,487.50 × 686,597,487.50
  4. Step 4: Simplify right side
    318,848,084x = 471,416,109,841,312,640
  5. Step 5: Solve for x
    x = 471,416,109,841,312,640/318,848,084
  6. Step 6: Final answer
    x = 1,478,497,546.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.