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Finding the Third Proportional to 252,158 and 390,426

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Solution

The third proportional to 252,158 and 390,426 is: 604,511.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,158 : 390,426 = 390,426 : x
  2. Step 2: Convert to fraction form
    252,158/390,426 = 390,426/x
  3. Step 3: Cross multiply
    252,158x = 390,426 × 390,426
  4. Step 4: Simplify right side
    252,158x = 152,432,461,476
  5. Step 5: Solve for x
    x = 152,432,461,476/252,158
  6. Step 6: Final answer
    x = 604,511.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.