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Finding the Third Proportional to 132,354 and 286,574

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Solution

The third proportional to 132,354 and 286,574 is: 620,492.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,354 : 286,574 = 286,574 : x
  2. Step 2: Convert to fraction form
    132,354/286,574 = 286,574/x
  3. Step 3: Cross multiply
    132,354x = 286,574 × 286,574
  4. Step 4: Simplify right side
    132,354x = 82,124,657,476
  5. Step 5: Solve for x
    x = 82,124,657,476/132,354
  6. Step 6: Final answer
    x = 620,492.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.