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Finding the Third Proportional to 286,128 and 452,970

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Solution

The third proportional to 286,128 and 452,970 is: 717,098.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,128 : 452,970 = 452,970 : x
  2. Step 2: Convert to fraction form
    286,128/452,970 = 452,970/x
  3. Step 3: Cross multiply
    286,128x = 452,970 × 452,970
  4. Step 4: Simplify right side
    286,128x = 205,181,820,900
  5. Step 5: Solve for x
    x = 205,181,820,900/286,128
  6. Step 6: Final answer
    x = 717,098.02

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.