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Finding the Third Proportional to 355,640 and 772,332

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Solution

The third proportional to 355,640 and 772,332 is: 1,677,248.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,640 : 772,332 = 772,332 : x
  2. Step 2: Convert to fraction form
    355,640/772,332 = 772,332/x
  3. Step 3: Cross multiply
    355,640x = 772,332 × 772,332
  4. Step 4: Simplify right side
    355,640x = 596,496,718,224
  5. Step 5: Solve for x
    x = 596,496,718,224/355,640
  6. Step 6: Final answer
    x = 1,677,248.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.