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Finding the Third Proportional to 482,112 and 713,326.50

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Solution

The third proportional to 482,112 and 713,326.50 is: 1,055,428.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,112 : 713,326.50 = 713,326.50 : x
  2. Step 2: Convert to fraction form
    482,112/713,326.50 = 713,326.50/x
  3. Step 3: Cross multiply
    482,112x = 713,326.50 × 713,326.50
  4. Step 4: Simplify right side
    482,112x = 508,834,695,602.25
  5. Step 5: Solve for x
    x = 508,834,695,602.25/482,112
  6. Step 6: Final answer
    x = 1,055,428.40

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.