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Finding the Third Proportional to 148,980,657 and 320,730,086

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Solution

The third proportional to 148,980,657 and 320,730,086 is: 690,477,476.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,980,657 : 320,730,086 = 320,730,086 : x
  2. Step 2: Convert to fraction form
    148,980,657/320,730,086 = 320,730,086/x
  3. Step 3: Cross multiply
    148,980,657x = 320,730,086 × 320,730,086
  4. Step 4: Simplify right side
    148,980,657x = 102,867,788,065,567,392
  5. Step 5: Solve for x
    x = 102,867,788,065,567,392/148,980,657
  6. Step 6: Final answer
    x = 690,477,476.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.