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Finding the Third Proportional to 140,820 and 293,292

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Solution

The third proportional to 140,820 and 293,292 is: 610,852.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,820 : 293,292 = 293,292 : x
  2. Step 2: Convert to fraction form
    140,820/293,292 = 293,292/x
  3. Step 3: Cross multiply
    140,820x = 293,292 × 293,292
  4. Step 4: Simplify right side
    140,820x = 86,020,197,264
  5. Step 5: Solve for x
    x = 86,020,197,264/140,820
  6. Step 6: Final answer
    x = 610,852.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.