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Finding the Third Proportional to 429,972 and 677,952

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Solution

The third proportional to 429,972 and 677,952 is: 1,068,950.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,972 : 677,952 = 677,952 : x
  2. Step 2: Convert to fraction form
    429,972/677,952 = 677,952/x
  3. Step 3: Cross multiply
    429,972x = 677,952 × 677,952
  4. Step 4: Simplify right side
    429,972x = 459,618,914,304
  5. Step 5: Solve for x
    x = 459,618,914,304/429,972
  6. Step 6: Final answer
    x = 1,068,950.80

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.