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Finding the Third Proportional to 585,989 and 1,243,920

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Solution

The third proportional to 585,989 and 1,243,920 is: 2,640,556.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,989 : 1,243,920 = 1,243,920 : x
  2. Step 2: Convert to fraction form
    585,989/1,243,920 = 1,243,920/x
  3. Step 3: Cross multiply
    585,989x = 1,243,920 × 1,243,920
  4. Step 4: Simplify right side
    585,989x = 1,547,336,966,400
  5. Step 5: Solve for x
    x = 1,547,336,966,400/585,989
  6. Step 6: Final answer
    x = 2,640,556.34

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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.