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Finding the Third Proportional to 585,122,440 and 1,258,303,760

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Solution

The third proportional to 585,122,440 and 1,258,303,760 is: 2,705,977,833.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,122,440 : 1,258,303,760 = 1,258,303,760 : x
  2. Step 2: Convert to fraction form
    585,122,440/1,258,303,760 = 1,258,303,760/x
  3. Step 3: Cross multiply
    585,122,440x = 1,258,303,760 × 1,258,303,760
  4. Step 4: Simplify right side
    585,122,440x = 1,583,328,352,430,137,600
  5. Step 5: Solve for x
    x = 1,583,328,352,430,137,600/585,122,440
  6. Step 6: Final answer
    x = 2,705,977,833.34

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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.