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Finding the Third Proportional to 429,345 and 630,883

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Solution

The third proportional to 429,345 and 630,883 is: 927,024.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,345 : 630,883 = 630,883 : x
  2. Step 2: Convert to fraction form
    429,345/630,883 = 630,883/x
  3. Step 3: Cross multiply
    429,345x = 630,883 × 630,883
  4. Step 4: Simplify right side
    429,345x = 398,013,359,689
  5. Step 5: Solve for x
    x = 398,013,359,689/429,345
  6. Step 6: Final answer
    x = 927,024.56

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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.