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Finding the Third Proportional to 1,020,822,744 and 1,583,724,048

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Solution

The third proportional to 1,020,822,744 and 1,583,724,048 is: 2,457,019,962.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020,822,744 : 1,583,724,048 = 1,583,724,048 : x
  2. Step 2: Convert to fraction form
    1,020,822,744/1,583,724,048 = 1,583,724,048/x
  3. Step 3: Cross multiply
    1,020,822,744x = 1,583,724,048 × 1,583,724,048
  4. Step 4: Simplify right side
    1,020,822,744x = 2,508,181,860,213,506,048
  5. Step 5: Solve for x
    x = 2,508,181,860,213,506,048/1,020,822,744
  6. Step 6: Final answer
    x = 2,457,019,962.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.