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Finding the Third Proportional to 312,109,880 and 686,000,080

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Solution

The third proportional to 312,109,880 and 686,000,080 is: 1,507,789,851.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,109,880 : 686,000,080 = 686,000,080 : x
  2. Step 2: Convert to fraction form
    312,109,880/686,000,080 = 686,000,080/x
  3. Step 3: Cross multiply
    312,109,880x = 686,000,080 × 686,000,080
  4. Step 4: Simplify right side
    312,109,880x = 470,596,109,760,006,400
  5. Step 5: Solve for x
    x = 470,596,109,760,006,400/312,109,880
  6. Step 6: Final answer
    x = 1,507,789,851.96

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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.