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Finding the Third Proportional to 102,486 and 130,953

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Solution

The third proportional to 102,486 and 130,953 is: 167,327.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,486 : 130,953 = 130,953 : x
  2. Step 2: Convert to fraction form
    102,486/130,953 = 130,953/x
  3. Step 3: Cross multiply
    102,486x = 130,953 × 130,953
  4. Step 4: Simplify right side
    102,486x = 17,148,688,209
  5. Step 5: Solve for x
    x = 17,148,688,209/102,486
  6. Step 6: Final answer
    x = 167,327.13

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.