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Finding the Third Proportional to 429,927.75 and 630,949.50

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Solution

The third proportional to 429,927.75 and 630,949.50 is: 925,963.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,927.75 : 630,949.50 = 630,949.50 : x
  2. Step 2: Convert to fraction form
    429,927.75/630,949.50 = 630,949.50/x
  3. Step 3: Cross multiply
    429,927.75x = 630,949.50 × 630,949.50
  4. Step 4: Simplify right side
    429,927.75x = 398,097,271,550.25
  5. Step 5: Solve for x
    x = 398,097,271,550.25/429,927.75
  6. Step 6: Final answer
    x = 925,963.19

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.