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Finding the Third Proportional to 130,113 and 285,570

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Solution

The third proportional to 130,113 and 285,570 is: 626,764.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,113 : 285,570 = 285,570 : x
  2. Step 2: Convert to fraction form
    130,113/285,570 = 285,570/x
  3. Step 3: Cross multiply
    130,113x = 285,570 × 285,570
  4. Step 4: Simplify right side
    130,113x = 81,550,224,900
  5. Step 5: Solve for x
    x = 81,550,224,900/130,113
  6. Step 6: Final answer
    x = 626,764.62

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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.