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Finding the Third Proportional to 812,470 and 1,187,313

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Solution

The third proportional to 812,470 and 1,187,313 is: 1,735,094.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,470 : 1,187,313 = 1,187,313 : x
  2. Step 2: Convert to fraction form
    812,470/1,187,313 = 1,187,313/x
  3. Step 3: Cross multiply
    812,470x = 1,187,313 × 1,187,313
  4. Step 4: Simplify right side
    812,470x = 1,409,712,159,969
  5. Step 5: Solve for x
    x = 1,409,712,159,969/812,470
  6. Step 6: Final answer
    x = 1,735,094.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.