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Finding the Third Proportional to 142,692 and 307,459.13

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Solution

The third proportional to 142,692 and 307,459.13 is: 662,483.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,692 : 307,459.13 = 307,459.13 : x
  2. Step 2: Convert to fraction form
    142,692/307,459.13 = 307,459.13/x
  3. Step 3: Cross multiply
    142,692x = 307,459.13 × 307,459.13
  4. Step 4: Simplify right side
    142,692x = 94,531,113,545.77
  5. Step 5: Solve for x
    x = 94,531,113,545.77/142,692
  6. Step 6: Final answer
    x = 662,483.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.