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Finding the Third Proportional to 346,292 and 521,724

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Solution

The third proportional to 346,292 and 521,724 is: 786,030.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,292 : 521,724 = 521,724 : x
  2. Step 2: Convert to fraction form
    346,292/521,724 = 521,724/x
  3. Step 3: Cross multiply
    346,292x = 521,724 × 521,724
  4. Step 4: Simplify right side
    346,292x = 272,195,932,176
  5. Step 5: Solve for x
    x = 272,195,932,176/346,292
  6. Step 6: Final answer
    x = 786,030.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.