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Finding the Third Proportional to 482,820 and 709,432

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Solution

The third proportional to 482,820 and 709,432 is: 1,042,404.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,820 : 709,432 = 709,432 : x
  2. Step 2: Convert to fraction form
    482,820/709,432 = 709,432/x
  3. Step 3: Cross multiply
    482,820x = 709,432 × 709,432
  4. Step 4: Simplify right side
    482,820x = 503,293,762,624
  5. Step 5: Solve for x
    x = 503,293,762,624/482,820
  6. Step 6: Final answer
    x = 1,042,404.55

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.