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Finding the Third Proportional to 406,307.39 and 630,000.28

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Solution

The third proportional to 406,307.39 and 630,000.28 is: 976,847.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,307.39 : 630,000.28 = 630,000.28 : x
  2. Step 2: Convert to fraction form
    406,307.39/630,000.28 = 630,000.28/x
  3. Step 3: Cross multiply
    406,307.39x = 630,000.28 × 630,000.28
  4. Step 4: Simplify right side
    406,307.39x = 396,900,354,375.08
  5. Step 5: Solve for x
    x = 396,900,354,375.08/406,307.39
  6. Step 6: Final answer
    x = 976,847.49

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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.