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Finding the Third Proportional to 287,969 and 428,952

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Solution

The third proportional to 287,969 and 428,952 is: 638,957.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,969 : 428,952 = 428,952 : x
  2. Step 2: Convert to fraction form
    287,969/428,952 = 428,952/x
  3. Step 3: Cross multiply
    287,969x = 428,952 × 428,952
  4. Step 4: Simplify right side
    287,969x = 183,999,818,304
  5. Step 5: Solve for x
    x = 183,999,818,304/287,969
  6. Step 6: Final answer
    x = 638,957.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.