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Finding the Third Proportional to 510,054 and 690,246

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Solution

The third proportional to 510,054 and 690,246 is: 934,096.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,054 : 690,246 = 690,246 : x
  2. Step 2: Convert to fraction form
    510,054/690,246 = 690,246/x
  3. Step 3: Cross multiply
    510,054x = 690,246 × 690,246
  4. Step 4: Simplify right side
    510,054x = 476,439,540,516
  5. Step 5: Solve for x
    x = 476,439,540,516/510,054
  6. Step 6: Final answer
    x = 934,096.27

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.