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Finding the Third Proportional to 459,078.75 and 698,779.13

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Solution

The third proportional to 459,078.75 and 698,779.13 is: 1,063,635.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,078.75 : 698,779.13 = 698,779.13 : x
  2. Step 2: Convert to fraction form
    459,078.75/698,779.13 = 698,779.13/x
  3. Step 3: Cross multiply
    459,078.75x = 698,779.13 × 698,779.13
  4. Step 4: Simplify right side
    459,078.75x = 488,292,265,535.77
  5. Step 5: Solve for x
    x = 488,292,265,535.77/459,078.75
  6. Step 6: Final answer
    x = 1,063,635.09

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.