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Finding the Third Proportional to 408,537 and 630,031.50

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Solution

The third proportional to 408,537 and 630,031.50 is: 971,612.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,537 : 630,031.50 = 630,031.50 : x
  2. Step 2: Convert to fraction form
    408,537/630,031.50 = 630,031.50/x
  3. Step 3: Cross multiply
    408,537x = 630,031.50 × 630,031.50
  4. Step 4: Simplify right side
    408,537x = 396,939,690,992.25
  5. Step 5: Solve for x
    x = 396,939,690,992.25/408,537
  6. Step 6: Final answer
    x = 971,612.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.