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Finding the Third Proportional to 585,122,432 and 1,258,303,744

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Solution

The third proportional to 585,122,432 and 1,258,303,744 is: 2,705,977,801.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,122,432 : 1,258,303,744 = 1,258,303,744 : x
  2. Step 2: Convert to fraction form
    585,122,432/1,258,303,744 = 1,258,303,744/x
  3. Step 3: Cross multiply
    585,122,432x = 1,258,303,744 × 1,258,303,744
  4. Step 4: Simplify right side
    585,122,432x = 1,583,328,312,164,417,536
  5. Step 5: Solve for x
    x = 1,583,328,312,164,417,536/585,122,432
  6. Step 6: Final answer
    x = 2,705,977,801.52

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.