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Finding the Third Proportional to 360,291,731 and 786,648,357

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Solution

The third proportional to 360,291,731 and 786,648,357 is: 1,717,540,493.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,291,731 : 786,648,357 = 786,648,357 : x
  2. Step 2: Convert to fraction form
    360,291,731/786,648,357 = 786,648,357/x
  3. Step 3: Cross multiply
    360,291,731x = 786,648,357 × 786,648,357
  4. Step 4: Simplify right side
    360,291,731x = 618,815,637,570,799,488
  5. Step 5: Solve for x
    x = 618,815,637,570,799,488/360,291,731
  6. Step 6: Final answer
    x = 1,717,540,493.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.