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Finding the Third Proportional to 428,301,760 and 577,879,640

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Solution

The third proportional to 428,301,760 and 577,879,640 is: 779,695,321.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,301,760 : 577,879,640 = 577,879,640 : x
  2. Step 2: Convert to fraction form
    428,301,760/577,879,640 = 577,879,640/x
  3. Step 3: Cross multiply
    428,301,760x = 577,879,640 × 577,879,640
  4. Step 4: Simplify right side
    428,301,760x = 333,944,878,326,529,600
  5. Step 5: Solve for x
    x = 333,944,878,326,529,600/428,301,760
  6. Step 6: Final answer
    x = 779,695,321.18

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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.