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Finding the Third Proportional to 243,509 and 374,498

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Solution

The third proportional to 243,509 and 374,498 is: 575,948.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,509 : 374,498 = 374,498 : x
  2. Step 2: Convert to fraction form
    243,509/374,498 = 374,498/x
  3. Step 3: Cross multiply
    243,509x = 374,498 × 374,498
  4. Step 4: Simplify right side
    243,509x = 140,248,752,004
  5. Step 5: Solve for x
    x = 140,248,752,004/243,509
  6. Step 6: Final answer
    x = 575,948.95

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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.