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Finding the Third Proportional to 428,301,748.50 and 577,879,623

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Solution

The third proportional to 428,301,748.50 and 577,879,623 is: 779,695,296.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,301,748.50 : 577,879,623 = 577,879,623 : x
  2. Step 2: Convert to fraction form
    428,301,748.50/577,879,623 = 577,879,623/x
  3. Step 3: Cross multiply
    428,301,748.50x = 577,879,623 × 577,879,623
  4. Step 4: Simplify right side
    428,301,748.50x = 333,944,858,678,622,144
  5. Step 5: Solve for x
    x = 333,944,858,678,622,144/428,301,748.50
  6. Step 6: Final answer
    x = 779,695,296.24

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.