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Finding the Third Proportional to 428,301,786 and 577,879,667.25

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Solution

The third proportional to 428,301,786 and 577,879,667.25 is: 779,695,347.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,301,786 : 577,879,667.25 = 577,879,667.25 : x
  2. Step 2: Convert to fraction form
    428,301,786/577,879,667.25 = 577,879,667.25/x
  3. Step 3: Cross multiply
    428,301,786x = 577,879,667.25 × 577,879,667.25
  4. Step 4: Simplify right side
    428,301,786x = 333,944,909,820,970,752
  5. Step 5: Solve for x
    x = 333,944,909,820,970,752/428,301,786
  6. Step 6: Final answer
    x = 779,695,347.39

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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.