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Finding the Third Proportional to 291,348 and 686,780

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Solution

The third proportional to 291,348 and 686,780 is: 1,618,911.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,348 : 686,780 = 686,780 : x
  2. Step 2: Convert to fraction form
    291,348/686,780 = 686,780/x
  3. Step 3: Cross multiply
    291,348x = 686,780 × 686,780
  4. Step 4: Simplify right side
    291,348x = 471,666,768,400
  5. Step 5: Solve for x
    x = 471,666,768,400/291,348
  6. Step 6: Final answer
    x = 1,618,911.98

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.