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Finding the Third Proportional to 140,411.25 and 307,066.50

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Solution

The third proportional to 140,411.25 and 307,066.50 is: 671,526.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,411.25 : 307,066.50 = 307,066.50 : x
  2. Step 2: Convert to fraction form
    140,411.25/307,066.50 = 307,066.50/x
  3. Step 3: Cross multiply
    140,411.25x = 307,066.50 × 307,066.50
  4. Step 4: Simplify right side
    140,411.25x = 94,289,835,422.25
  5. Step 5: Solve for x
    x = 94,289,835,422.25/140,411.25
  6. Step 6: Final answer
    x = 671,526.22

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.