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Finding the Third Proportional to 132,390 and 286,515

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Solution

The third proportional to 132,390 and 286,515 is: 620,068.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,390 : 286,515 = 286,515 : x
  2. Step 2: Convert to fraction form
    132,390/286,515 = 286,515/x
  3. Step 3: Cross multiply
    132,390x = 286,515 × 286,515
  4. Step 4: Simplify right side
    132,390x = 82,090,845,225
  5. Step 5: Solve for x
    x = 82,090,845,225/132,390
  6. Step 6: Final answer
    x = 620,068.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.