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Finding the Third Proportional to 501,210 and 724,160.25

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Solution

The third proportional to 501,210 and 724,160.25 is: 1,046,284.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,210 : 724,160.25 = 724,160.25 : x
  2. Step 2: Convert to fraction form
    501,210/724,160.25 = 724,160.25/x
  3. Step 3: Cross multiply
    501,210x = 724,160.25 × 724,160.25
  4. Step 4: Simplify right side
    501,210x = 524,408,067,680.06
  5. Step 5: Solve for x
    x = 524,408,067,680.06/501,210
  6. Step 6: Final answer
    x = 1,046,284.13

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.