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Finding the Third Proportional to 312,109,882 and 686,000,084

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Solution

The third proportional to 312,109,882 and 686,000,084 is: 1,507,789,859.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,109,882 : 686,000,084 = 686,000,084 : x
  2. Step 2: Convert to fraction form
    312,109,882/686,000,084 = 686,000,084/x
  3. Step 3: Cross multiply
    312,109,882x = 686,000,084 × 686,000,084
  4. Step 4: Simplify right side
    312,109,882x = 470,596,115,248,007,040
  5. Step 5: Solve for x
    x = 470,596,115,248,007,040/312,109,882
  6. Step 6: Final answer
    x = 1,507,789,859.88

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.