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Finding the Third Proportional to 130,414 and 285,830

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Solution

The third proportional to 130,414 and 285,830 is: 626,457.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,414 : 285,830 = 285,830 : x
  2. Step 2: Convert to fraction form
    130,414/285,830 = 285,830/x
  3. Step 3: Cross multiply
    130,414x = 285,830 × 285,830
  4. Step 4: Simplify right side
    130,414x = 81,698,788,900
  5. Step 5: Solve for x
    x = 81,698,788,900/130,414
  6. Step 6: Final answer
    x = 626,457.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.