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Finding the Third Proportional to 712,638,648 and 1,490,435,640

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Solution

The third proportional to 712,638,648 and 1,490,435,640 is: 3,117,145,559.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,638,648 : 1,490,435,640 = 1,490,435,640 : x
  2. Step 2: Convert to fraction form
    712,638,648/1,490,435,640 = 1,490,435,640/x
  3. Step 3: Cross multiply
    712,638,648x = 1,490,435,640 × 1,490,435,640
  4. Step 4: Simplify right side
    712,638,648x = 2,221,398,396,982,209,536
  5. Step 5: Solve for x
    x = 2,221,398,396,982,209,536/712,638,648
  6. Step 6: Final answer
    x = 3,117,145,559.28

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.