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Finding the Third Proportional to 677,316 and 928,785

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Solution

The third proportional to 677,316 and 928,785 is: 1,273,617.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,316 : 928,785 = 928,785 : x
  2. Step 2: Convert to fraction form
    677,316/928,785 = 928,785/x
  3. Step 3: Cross multiply
    677,316x = 928,785 × 928,785
  4. Step 4: Simplify right side
    677,316x = 862,641,576,225
  5. Step 5: Solve for x
    x = 862,641,576,225/677,316
  6. Step 6: Final answer
    x = 1,273,617.60

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.