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Finding the Third Proportional to 400,656 and 623,952

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Solution

The third proportional to 400,656 and 623,952 is: 971,696.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,656 : 623,952 = 623,952 : x
  2. Step 2: Convert to fraction form
    400,656/623,952 = 623,952/x
  3. Step 3: Cross multiply
    400,656x = 623,952 × 623,952
  4. Step 4: Simplify right side
    400,656x = 389,316,098,304
  5. Step 5: Solve for x
    x = 389,316,098,304/400,656
  6. Step 6: Final answer
    x = 971,696.66

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.