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Finding the Third Proportional to 208,844,520 and 442,585,020

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Solution

The third proportional to 208,844,520 and 442,585,020 is: 937,929,805.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,844,520 : 442,585,020 = 442,585,020 : x
  2. Step 2: Convert to fraction form
    208,844,520/442,585,020 = 442,585,020/x
  3. Step 3: Cross multiply
    208,844,520x = 442,585,020 × 442,585,020
  4. Step 4: Simplify right side
    208,844,520x = 195,881,499,928,400,384
  5. Step 5: Solve for x
    x = 195,881,499,928,400,384/208,844,520
  6. Step 6: Final answer
    x = 937,929,805.05

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.