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Finding the Third Proportional to 405,294 and 608,157

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Solution

The third proportional to 405,294 and 608,157 is: 912,559.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,294 : 608,157 = 608,157 : x
  2. Step 2: Convert to fraction form
    405,294/608,157 = 608,157/x
  3. Step 3: Cross multiply
    405,294x = 608,157 × 608,157
  4. Step 4: Simplify right side
    405,294x = 369,854,936,649
  5. Step 5: Solve for x
    x = 369,854,936,649/405,294
  6. Step 6: Final answer
    x = 912,559.62

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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.