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Finding the Third Proportional to 315,488.25 and 489,435.75

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Solution

The third proportional to 315,488.25 and 489,435.75 is: 759,290.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,488.25 : 489,435.75 = 489,435.75 : x
  2. Step 2: Convert to fraction form
    315,488.25/489,435.75 = 489,435.75/x
  3. Step 3: Cross multiply
    315,488.25x = 489,435.75 × 489,435.75
  4. Step 4: Simplify right side
    315,488.25x = 239,547,353,378.06
  5. Step 5: Solve for x
    x = 239,547,353,378.06/315,488.25
  6. Step 6: Final answer
    x = 759,290.89

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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.