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Finding the Third Proportional to 429,326.25 and 630,862.50

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Solution

The third proportional to 429,326.25 and 630,862.50 is: 927,004.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,326.25 : 630,862.50 = 630,862.50 : x
  2. Step 2: Convert to fraction form
    429,326.25/630,862.50 = 630,862.50/x
  3. Step 3: Cross multiply
    429,326.25x = 630,862.50 × 630,862.50
  4. Step 4: Simplify right side
    429,326.25x = 397,987,493,906.25
  5. Step 5: Solve for x
    x = 397,987,493,906.25/429,326.25
  6. Step 6: Final answer
    x = 927,004.80

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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.