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Finding the Third Proportional to 231,565.50 and 346,376.25

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Solution

The third proportional to 231,565.50 and 346,376.25 is: 518,110.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,565.50 : 346,376.25 = 346,376.25 : x
  2. Step 2: Convert to fraction form
    231,565.50/346,376.25 = 346,376.25/x
  3. Step 3: Cross multiply
    231,565.50x = 346,376.25 × 346,376.25
  4. Step 4: Simplify right side
    231,565.50x = 119,976,506,564.06
  5. Step 5: Solve for x
    x = 119,976,506,564.06/231,565.50
  6. Step 6: Final answer
    x = 518,110.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.