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Finding the Third Proportional to 717,458 and 1,509,272

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Solution

The third proportional to 717,458 and 1,509,272 is: 3,174,962.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,458 : 1,509,272 = 1,509,272 : x
  2. Step 2: Convert to fraction form
    717,458/1,509,272 = 1,509,272/x
  3. Step 3: Cross multiply
    717,458x = 1,509,272 × 1,509,272
  4. Step 4: Simplify right side
    717,458x = 2,277,901,969,984
  5. Step 5: Solve for x
    x = 2,277,901,969,984/717,458
  6. Step 6: Final answer
    x = 3,174,962.12

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.