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Finding the Third Proportional to 458,703.75 and 708,508.13

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Solution

The third proportional to 458,703.75 and 708,508.13 is: 1,094,352.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,703.75 : 708,508.13 = 708,508.13 : x
  2. Step 2: Convert to fraction form
    458,703.75/708,508.13 = 708,508.13/x
  3. Step 3: Cross multiply
    458,703.75x = 708,508.13 × 708,508.13
  4. Step 4: Simplify right side
    458,703.75x = 501,983,763,191.02
  5. Step 5: Solve for x
    x = 501,983,763,191.02/458,703.75
  6. Step 6: Final answer
    x = 1,094,352.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.