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Finding the Third Proportional to 789,516,576 and 1,710,830,448

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Solution

The third proportional to 789,516,576 and 1,710,830,448 is: 3,707,256,960.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,516,576 : 1,710,830,448 = 1,710,830,448 : x
  2. Step 2: Convert to fraction form
    789,516,576/1,710,830,448 = 1,710,830,448/x
  3. Step 3: Cross multiply
    789,516,576x = 1,710,830,448 × 1,710,830,448
  4. Step 4: Simplify right side
    789,516,576x = 2,926,940,821,803,880,448
  5. Step 5: Solve for x
    x = 2,926,940,821,803,880,448/789,516,576
  6. Step 6: Final answer
    x = 3,707,256,960.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.