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Finding the Third Proportional to 144,388,488.38 and 315,235,842.75

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Solution

The third proportional to 144,388,488.38 and 315,235,842.75 is: 688,237,945.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,388,488.38 : 315,235,842.75 = 315,235,842.75 : x
  2. Step 2: Convert to fraction form
    144,388,488.38/315,235,842.75 = 315,235,842.75/x
  3. Step 3: Cross multiply
    144,388,488.38x = 315,235,842.75 × 315,235,842.75
  4. Step 4: Simplify right side
    144,388,488.38x = 99,373,636,554,302,720
  5. Step 5: Solve for x
    x = 99,373,636,554,302,720/144,388,488.38
  6. Step 6: Final answer
    x = 688,237,945.23

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.