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Finding the Third Proportional to 457,218.50 and 710,740

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Solution

The third proportional to 457,218.50 and 710,740 is: 1,104,835.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,218.50 : 710,740 = 710,740 : x
  2. Step 2: Convert to fraction form
    457,218.50/710,740 = 710,740/x
  3. Step 3: Cross multiply
    457,218.50x = 710,740 × 710,740
  4. Step 4: Simplify right side
    457,218.50x = 505,151,347,600
  5. Step 5: Solve for x
    x = 505,151,347,600/457,218.50
  6. Step 6: Final answer
    x = 1,104,835.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.