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Finding the Third Proportional to 509,690 and 712,887

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Solution

The third proportional to 509,690 and 712,887 is: 997,092.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,690 : 712,887 = 712,887 : x
  2. Step 2: Convert to fraction form
    509,690/712,887 = 712,887/x
  3. Step 3: Cross multiply
    509,690x = 712,887 × 712,887
  4. Step 4: Simplify right side
    509,690x = 508,207,874,769
  5. Step 5: Solve for x
    x = 508,207,874,769/509,690
  6. Step 6: Final answer
    x = 997,092.10

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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.