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Finding the Third Proportional to 316,315.50 and 683,143.50

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Solution

The third proportional to 316,315.50 and 683,143.50 is: 1,475,378.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,315.50 : 683,143.50 = 683,143.50 : x
  2. Step 2: Convert to fraction form
    316,315.50/683,143.50 = 683,143.50/x
  3. Step 3: Cross multiply
    316,315.50x = 683,143.50 × 683,143.50
  4. Step 4: Simplify right side
    316,315.50x = 466,685,041,592.25
  5. Step 5: Solve for x
    x = 466,685,041,592.25/316,315.50
  6. Step 6: Final answer
    x = 1,475,378.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.