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Finding the Third Proportional to 155,720 and 240,586

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Solution

The third proportional to 155,720 and 240,586 is: 371,703.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,720 : 240,586 = 240,586 : x
  2. Step 2: Convert to fraction form
    155,720/240,586 = 240,586/x
  3. Step 3: Cross multiply
    155,720x = 240,586 × 240,586
  4. Step 4: Simplify right side
    155,720x = 57,881,623,396
  5. Step 5: Solve for x
    x = 57,881,623,396/155,720
  6. Step 6: Final answer
    x = 371,703.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.