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Finding the Third Proportional to 847,138,728 and 1,238,197,518

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Solution

The third proportional to 847,138,728 and 1,238,197,518 is: 1,809,778,071.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,138,728 : 1,238,197,518 = 1,238,197,518 : x
  2. Step 2: Convert to fraction form
    847,138,728/1,238,197,518 = 1,238,197,518/x
  3. Step 3: Cross multiply
    847,138,728x = 1,238,197,518 × 1,238,197,518
  4. Step 4: Simplify right side
    847,138,728x = 1,533,133,093,581,360,384
  5. Step 5: Solve for x
    x = 1,533,133,093,581,360,384/847,138,728
  6. Step 6: Final answer
    x = 1,809,778,071.65

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.