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Finding the Third Proportional to 130,642 and 286,184

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Solution

The third proportional to 130,642 and 286,184 is: 626,913.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,642 : 286,184 = 286,184 : x
  2. Step 2: Convert to fraction form
    130,642/286,184 = 286,184/x
  3. Step 3: Cross multiply
    130,642x = 286,184 × 286,184
  4. Step 4: Simplify right side
    130,642x = 81,901,281,856
  5. Step 5: Solve for x
    x = 81,901,281,856/130,642
  6. Step 6: Final answer
    x = 626,913.87

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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.