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Finding the Third Proportional to 920,445,886 and 1,977,500,508

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Solution

The third proportional to 920,445,886 and 1,977,500,508 is: 4,248,493,386.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    920,445,886 : 1,977,500,508 = 1,977,500,508 : x
  2. Step 2: Convert to fraction form
    920,445,886/1,977,500,508 = 1,977,500,508/x
  3. Step 3: Cross multiply
    920,445,886x = 1,977,500,508 × 1,977,500,508
  4. Step 4: Simplify right side
    920,445,886x = 3,910,508,259,140,258,304
  5. Step 5: Solve for x
    x = 3,910,508,259,140,258,304/920,445,886
  6. Step 6: Final answer
    x = 4,248,493,386.32

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Why These Related Problems?

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