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Finding the Third Proportional to 400,875 and 616,434

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Solution

The third proportional to 400,875 and 616,434 is: 947,903.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,875 : 616,434 = 616,434 : x
  2. Step 2: Convert to fraction form
    400,875/616,434 = 616,434/x
  3. Step 3: Cross multiply
    400,875x = 616,434 × 616,434
  4. Step 4: Simplify right side
    400,875x = 379,990,876,356
  5. Step 5: Solve for x
    x = 379,990,876,356/400,875
  6. Step 6: Final answer
    x = 947,903.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.