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Finding the Third Proportional to 360,291,729 and 786,648,352.50

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Solution

The third proportional to 360,291,729 and 786,648,352.50 is: 1,717,540,483.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,291,729 : 786,648,352.50 = 786,648,352.50 : x
  2. Step 2: Convert to fraction form
    360,291,729/786,648,352.50 = 786,648,352.50/x
  3. Step 3: Cross multiply
    360,291,729x = 786,648,352.50 × 786,648,352.50
  4. Step 4: Simplify right side
    360,291,729x = 618,815,630,490,964,224
  5. Step 5: Solve for x
    x = 618,815,630,490,964,224/360,291,729
  6. Step 6: Final answer
    x = 1,717,540,483.68

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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.