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Finding the Third Proportional to 309,070 and 662,498

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Solution

The third proportional to 309,070 and 662,498 is: 1,420,078.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,070 : 662,498 = 662,498 : x
  2. Step 2: Convert to fraction form
    309,070/662,498 = 662,498/x
  3. Step 3: Cross multiply
    309,070x = 662,498 × 662,498
  4. Step 4: Simplify right side
    309,070x = 438,903,600,004
  5. Step 5: Solve for x
    x = 438,903,600,004/309,070
  6. Step 6: Final answer
    x = 1,420,078.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.