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Finding the Third Proportional to 360,291,709 and 786,648,315

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Solution

The third proportional to 360,291,709 and 786,648,315 is: 1,717,540,415.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,291,709 : 786,648,315 = 786,648,315 : x
  2. Step 2: Convert to fraction form
    360,291,709/786,648,315 = 786,648,315/x
  3. Step 3: Cross multiply
    360,291,709x = 786,648,315 × 786,648,315
  4. Step 4: Simplify right side
    360,291,709x = 618,815,571,492,339,200
  5. Step 5: Solve for x
    x = 618,815,571,492,339,200/360,291,709
  6. Step 6: Final answer
    x = 1,717,540,415.26

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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.