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Finding the Third Proportional to 211,355,437.75 and 428,653,710.50

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Solution

The third proportional to 211,355,437.75 and 428,653,710.50 is: 869,360,190.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,355,437.75 : 428,653,710.50 = 428,653,710.50 : x
  2. Step 2: Convert to fraction form
    211,355,437.75/428,653,710.50 = 428,653,710.50/x
  3. Step 3: Cross multiply
    211,355,437.75x = 428,653,710.50 × 428,653,710.50
  4. Step 4: Simplify right side
    211,355,437.75x = 183,744,003,525,417,824
  5. Step 5: Solve for x
    x = 183,744,003,525,417,824/211,355,437.75
  6. Step 6: Final answer
    x = 869,360,190.03

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.