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Finding the Third Proportional to 353,134 and 772,289

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Solution

The third proportional to 353,134 and 772,289 is: 1,688,963.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,134 : 772,289 = 772,289 : x
  2. Step 2: Convert to fraction form
    353,134/772,289 = 772,289/x
  3. Step 3: Cross multiply
    353,134x = 772,289 × 772,289
  4. Step 4: Simplify right side
    353,134x = 596,430,299,521
  5. Step 5: Solve for x
    x = 596,430,299,521/353,134
  6. Step 6: Final answer
    x = 1,688,963.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.