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Finding the Third Proportional to 872,605,563 and 1,389,159,274

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Solution

The third proportional to 872,605,563 and 1,389,159,274 is: 2,211,495,743.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,605,563 : 1,389,159,274 = 1,389,159,274 : x
  2. Step 2: Convert to fraction form
    872,605,563/1,389,159,274 = 1,389,159,274/x
  3. Step 3: Cross multiply
    872,605,563x = 1,389,159,274 × 1,389,159,274
  4. Step 4: Simplify right side
    872,605,563x = 1,929,763,488,540,207,104
  5. Step 5: Solve for x
    x = 1,929,763,488,540,207,104/872,605,563
  6. Step 6: Final answer
    x = 2,211,495,743.74

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.