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Finding the Third Proportional to 142,398 and 307,368

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Solution

The third proportional to 142,398 and 307,368 is: 663,457.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,398 : 307,368 = 307,368 : x
  2. Step 2: Convert to fraction form
    142,398/307,368 = 307,368/x
  3. Step 3: Cross multiply
    142,398x = 307,368 × 307,368
  4. Step 4: Simplify right side
    142,398x = 94,475,087,424
  5. Step 5: Solve for x
    x = 94,475,087,424/142,398
  6. Step 6: Final answer
    x = 663,457.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.