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Finding the Third Proportional to 309,438 and 492,365

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Solution

The third proportional to 309,438 and 492,365 is: 783,430.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,438 : 492,365 = 492,365 : x
  2. Step 2: Convert to fraction form
    309,438/492,365 = 492,365/x
  3. Step 3: Cross multiply
    309,438x = 492,365 × 492,365
  4. Step 4: Simplify right side
    309,438x = 242,423,293,225
  5. Step 5: Solve for x
    x = 242,423,293,225/309,438
  6. Step 6: Final answer
    x = 783,430.91

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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.