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Finding the Third Proportional to 458,157 and 759,211.50

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Solution

The third proportional to 458,157 and 759,211.50 is: 1,258,088.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,157 : 759,211.50 = 759,211.50 : x
  2. Step 2: Convert to fraction form
    458,157/759,211.50 = 759,211.50/x
  3. Step 3: Cross multiply
    458,157x = 759,211.50 × 759,211.50
  4. Step 4: Simplify right side
    458,157x = 576,402,101,732.25
  5. Step 5: Solve for x
    x = 576,402,101,732.25/458,157
  6. Step 6: Final answer
    x = 1,258,088.61

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.