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Finding the Third Proportional to 128,521 and 272,594

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Solution

The third proportional to 128,521 and 272,594 is: 578,173.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,521 : 272,594 = 272,594 : x
  2. Step 2: Convert to fraction form
    128,521/272,594 = 272,594/x
  3. Step 3: Cross multiply
    128,521x = 272,594 × 272,594
  4. Step 4: Simplify right side
    128,521x = 74,307,488,836
  5. Step 5: Solve for x
    x = 74,307,488,836/128,521
  6. Step 6: Final answer
    x = 578,173.91

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.