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Finding the Third Proportional to 530,792 and 821,892

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Solution

The third proportional to 530,792 and 821,892 is: 1,272,638.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,792 : 821,892 = 821,892 : x
  2. Step 2: Convert to fraction form
    530,792/821,892 = 821,892/x
  3. Step 3: Cross multiply
    530,792x = 821,892 × 821,892
  4. Step 4: Simplify right side
    530,792x = 675,506,459,664
  5. Step 5: Solve for x
    x = 675,506,459,664/530,792
  6. Step 6: Final answer
    x = 1,272,638.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.