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Finding the Third Proportional to 142,854 and 307,207

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Solution

The third proportional to 142,854 and 307,207 is: 660,647.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,854 : 307,207 = 307,207 : x
  2. Step 2: Convert to fraction form
    142,854/307,207 = 307,207/x
  3. Step 3: Cross multiply
    142,854x = 307,207 × 307,207
  4. Step 4: Simplify right side
    142,854x = 94,376,140,849
  5. Step 5: Solve for x
    x = 94,376,140,849/142,854
  6. Step 6: Final answer
    x = 660,647.52

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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.