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Finding the Third Proportional to 309,394 and 492,310

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Solution

The third proportional to 309,394 and 492,310 is: 783,367.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,394 : 492,310 = 492,310 : x
  2. Step 2: Convert to fraction form
    309,394/492,310 = 492,310/x
  3. Step 3: Cross multiply
    309,394x = 492,310 × 492,310
  4. Step 4: Simplify right side
    309,394x = 242,369,136,100
  5. Step 5: Solve for x
    x = 242,369,136,100/309,394
  6. Step 6: Final answer
    x = 783,367.28

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.