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Finding the Third Proportional to 504,172 and 781,046

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Solution

The third proportional to 504,172 and 781,046 is: 1,209,969.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,172 : 781,046 = 781,046 : x
  2. Step 2: Convert to fraction form
    504,172/781,046 = 781,046/x
  3. Step 3: Cross multiply
    504,172x = 781,046 × 781,046
  4. Step 4: Simplify right side
    504,172x = 610,032,854,116
  5. Step 5: Solve for x
    x = 610,032,854,116/504,172
  6. Step 6: Final answer
    x = 1,209,969.72

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.