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Finding the Third Proportional to 390,015 and 581,377.50

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Solution

The third proportional to 390,015 and 581,377.50 is: 866,632.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,015 : 581,377.50 = 581,377.50 : x
  2. Step 2: Convert to fraction form
    390,015/581,377.50 = 581,377.50/x
  3. Step 3: Cross multiply
    390,015x = 581,377.50 × 581,377.50
  4. Step 4: Simplify right side
    390,015x = 337,999,797,506.25
  5. Step 5: Solve for x
    x = 337,999,797,506.25/390,015
  6. Step 6: Final answer
    x = 866,632.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.