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Finding the Third Proportional to 388,313,010 and 834,257,830.50

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Solution

The third proportional to 388,313,010 and 834,257,830.50 is: 1,792,332,756.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,313,010 : 834,257,830.50 = 834,257,830.50 : x
  2. Step 2: Convert to fraction form
    388,313,010/834,257,830.50 = 834,257,830.50/x
  3. Step 3: Cross multiply
    388,313,010x = 834,257,830.50 × 834,257,830.50
  4. Step 4: Simplify right side
    388,313,010x = 695,986,127,750,566,784
  5. Step 5: Solve for x
    x = 695,986,127,750,566,784/388,313,010
  6. Step 6: Final answer
    x = 1,792,332,756.89

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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.