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Finding the Third Proportional to 425,490 and 630,019

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Solution

The third proportional to 425,490 and 630,019 is: 932,863.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,490 : 630,019 = 630,019 : x
  2. Step 2: Convert to fraction form
    425,490/630,019 = 630,019/x
  3. Step 3: Cross multiply
    425,490x = 630,019 × 630,019
  4. Step 4: Simplify right side
    425,490x = 396,923,940,361
  5. Step 5: Solve for x
    x = 396,923,940,361/425,490
  6. Step 6: Final answer
    x = 932,863.15

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.