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Finding the Third Proportional to 1,140,897,346 and 2,500,512,188

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Solution

The third proportional to 1,140,897,346 and 2,500,512,188 is: 5,480,388,944.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140,897,346 : 2,500,512,188 = 2,500,512,188 : x
  2. Step 2: Convert to fraction form
    1,140,897,346/2,500,512,188 = 2,500,512,188/x
  3. Step 3: Cross multiply
    1,140,897,346x = 2,500,512,188 × 2,500,512,188
  4. Step 4: Simplify right side
    1,140,897,346x = 6,252,561,202,336,547,840
  5. Step 5: Solve for x
    x = 6,252,561,202,336,547,840/1,140,897,346
  6. Step 6: Final answer
    x = 5,480,388,944.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.