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Finding the Third Proportional to 418,788 and 917,328

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Solution

The third proportional to 418,788 and 917,328 is: 2,009,347.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,788 : 917,328 = 917,328 : x
  2. Step 2: Convert to fraction form
    418,788/917,328 = 917,328/x
  3. Step 3: Cross multiply
    418,788x = 917,328 × 917,328
  4. Step 4: Simplify right side
    418,788x = 841,490,659,584
  5. Step 5: Solve for x
    x = 841,490,659,584/418,788
  6. Step 6: Final answer
    x = 2,009,347.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.