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Finding the Third Proportional to 245,709 and 370,292

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Solution

The third proportional to 245,709 and 370,292 is: 558,042.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,709 : 370,292 = 370,292 : x
  2. Step 2: Convert to fraction form
    245,709/370,292 = 370,292/x
  3. Step 3: Cross multiply
    245,709x = 370,292 × 370,292
  4. Step 4: Simplify right side
    245,709x = 137,116,165,264
  5. Step 5: Solve for x
    x = 137,116,165,264/245,709
  6. Step 6: Final answer
    x = 558,042.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.