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Finding the Third Proportional to 289,188 and 432,246

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Solution

The third proportional to 289,188 and 432,246 is: 646,073.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,188 : 432,246 = 432,246 : x
  2. Step 2: Convert to fraction form
    289,188/432,246 = 432,246/x
  3. Step 3: Cross multiply
    289,188x = 432,246 × 432,246
  4. Step 4: Simplify right side
    289,188x = 186,836,604,516
  5. Step 5: Solve for x
    x = 186,836,604,516/289,188
  6. Step 6: Final answer
    x = 646,073.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.