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Finding the Third Proportional to 1,411,677,288 and 2,135,671,987.50

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Solution

The third proportional to 1,411,677,288 and 2,135,671,987.50 is: 3,230,975,575.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411,677,288 : 2,135,671,987.50 = 2,135,671,987.50 : x
  2. Step 2: Convert to fraction form
    1,411,677,288/2,135,671,987.50 = 2,135,671,987.50/x
  3. Step 3: Cross multiply
    1,411,677,288x = 2,135,671,987.50 × 2,135,671,987.50
  4. Step 4: Simplify right side
    1,411,677,288x = 4,561,094,838,192,200,192
  5. Step 5: Solve for x
    x = 4,561,094,838,192,200,192/1,411,677,288
  6. Step 6: Final answer
    x = 3,230,975,575.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.