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Finding the Third Proportional to 160,403,296.50 and 343,827,704

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Solution

The third proportional to 160,403,296.50 and 343,827,704 is: 737,001,624.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,403,296.50 : 343,827,704 = 343,827,704 : x
  2. Step 2: Convert to fraction form
    160,403,296.50/343,827,704 = 343,827,704/x
  3. Step 3: Cross multiply
    160,403,296.50x = 343,827,704 × 343,827,704
  4. Step 4: Simplify right side
    160,403,296.50x = 118,217,490,037,911,616
  5. Step 5: Solve for x
    x = 118,217,490,037,911,616/160,403,296.50
  6. Step 6: Final answer
    x = 737,001,624.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.