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Finding the Third Proportional to 310,296,880.69 and 462,754,488.38

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Solution

The third proportional to 310,296,880.69 and 462,754,488.38 is: 690,118,817.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,296,880.69 : 462,754,488.38 = 462,754,488.38 : x
  2. Step 2: Convert to fraction form
    310,296,880.69/462,754,488.38 = 462,754,488.38/x
  3. Step 3: Cross multiply
    310,296,880.69x = 462,754,488.38 × 462,754,488.38
  4. Step 4: Simplify right side
    310,296,880.69x = 214,141,716,511,208,000
  5. Step 5: Solve for x
    x = 214,141,716,511,208,000/310,296,880.69
  6. Step 6: Final answer
    x = 690,118,817.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.