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Finding the Third Proportional to 46,535,562 and 102,302,448

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Solution

The third proportional to 46,535,562 and 102,302,448 is: 224,898,774.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,535,562 : 102,302,448 = 102,302,448 : x
  2. Step 2: Convert to fraction form
    46,535,562/102,302,448 = 102,302,448/x
  3. Step 3: Cross multiply
    46,535,562x = 102,302,448 × 102,302,448
  4. Step 4: Simplify right side
    46,535,562x = 10,465,790,866,792,704
  5. Step 5: Solve for x
    x = 10,465,790,866,792,704/46,535,562
  6. Step 6: Final answer
    x = 224,898,774.55

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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.