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Finding the Third Proportional to 428,301,727.31 and 577,879,592.63

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Solution

The third proportional to 428,301,727.31 and 577,879,592.63 is: 779,695,252.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,301,727.31 : 577,879,592.63 = 577,879,592.63 : x
  2. Step 2: Convert to fraction form
    428,301,727.31/577,879,592.63 = 577,879,592.63/x
  3. Step 3: Cross multiply
    428,301,727.31x = 577,879,592.63 × 577,879,592.63
  4. Step 4: Simplify right side
    428,301,727.31x = 333,944,823,572,435,968
  5. Step 5: Solve for x
    x = 333,944,823,572,435,968/428,301,727.31
  6. Step 6: Final answer
    x = 779,695,252.85

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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.