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Finding the Third Proportional to 130,114 and 285,572

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Solution

The third proportional to 130,114 and 285,572 is: 626,768.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,114 : 285,572 = 285,572 : x
  2. Step 2: Convert to fraction form
    130,114/285,572 = 285,572/x
  3. Step 3: Cross multiply
    130,114x = 285,572 × 285,572
  4. Step 4: Simplify right side
    130,114x = 81,551,367,184
  5. Step 5: Solve for x
    x = 81,551,367,184/130,114
  6. Step 6: Final answer
    x = 626,768.58

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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.