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Finding the Third Proportional to 520,056 and 730,206

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Solution

The third proportional to 520,056 and 730,206 is: 1,025,275.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,056 : 730,206 = 730,206 : x
  2. Step 2: Convert to fraction form
    520,056/730,206 = 730,206/x
  3. Step 3: Cross multiply
    520,056x = 730,206 × 730,206
  4. Step 4: Simplify right side
    520,056x = 533,200,802,436
  5. Step 5: Solve for x
    x = 533,200,802,436/520,056
  6. Step 6: Final answer
    x = 1,025,275.74

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.