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Finding the Third Proportional to 502,402 and 753,611

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Solution

The third proportional to 502,402 and 753,611 is: 1,130,428.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,402 : 753,611 = 753,611 : x
  2. Step 2: Convert to fraction form
    502,402/753,611 = 753,611/x
  3. Step 3: Cross multiply
    502,402x = 753,611 × 753,611
  4. Step 4: Simplify right side
    502,402x = 567,929,539,321
  5. Step 5: Solve for x
    x = 567,929,539,321/502,402
  6. Step 6: Final answer
    x = 1,130,428.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.