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Finding the Third Proportional to 697,428 and 1,077,687

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Solution

The third proportional to 697,428 and 1,077,687 is: 1,665,274.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,428 : 1,077,687 = 1,077,687 : x
  2. Step 2: Convert to fraction form
    697,428/1,077,687 = 1,077,687/x
  3. Step 3: Cross multiply
    697,428x = 1,077,687 × 1,077,687
  4. Step 4: Simplify right side
    697,428x = 1,161,409,269,969
  5. Step 5: Solve for x
    x = 1,161,409,269,969/697,428
  6. Step 6: Final answer
    x = 1,665,274.80

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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.