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Finding the Third Proportional to 142,855 and 307,209

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Solution

The third proportional to 142,855 and 307,209 is: 660,651.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,855 : 307,209 = 307,209 : x
  2. Step 2: Convert to fraction form
    142,855/307,209 = 307,209/x
  3. Step 3: Cross multiply
    142,855x = 307,209 × 307,209
  4. Step 4: Simplify right side
    142,855x = 94,377,369,681
  5. Step 5: Solve for x
    x = 94,377,369,681/142,855
  6. Step 6: Final answer
    x = 660,651.50

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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.