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Finding the Third Proportional to 142,981.13 and 209,692.63

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Solution

The third proportional to 142,981.13 and 209,692.63 is: 307,530.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,981.13 : 209,692.63 = 209,692.63 : x
  2. Step 2: Convert to fraction form
    142,981.13/209,692.63 = 209,692.63/x
  3. Step 3: Cross multiply
    142,981.13x = 209,692.63 × 209,692.63
  4. Step 4: Simplify right side
    142,981.13x = 43,970,996,979.39
  5. Step 5: Solve for x
    x = 43,970,996,979.39/142,981.13
  6. Step 6: Final answer
    x = 307,530.08

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.