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Finding the Third Proportional to 272,184 and 577,312

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Solution

The third proportional to 272,184 and 577,312 is: 1,224,499.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,184 : 577,312 = 577,312 : x
  2. Step 2: Convert to fraction form
    272,184/577,312 = 577,312/x
  3. Step 3: Cross multiply
    272,184x = 577,312 × 577,312
  4. Step 4: Simplify right side
    272,184x = 333,289,145,344
  5. Step 5: Solve for x
    x = 333,289,145,344/272,184
  6. Step 6: Final answer
    x = 1,224,499.40

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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.