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Finding the Third Proportional to 418,312 and 918,628

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Solution

The third proportional to 418,312 and 918,628 is: 2,017,339.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,312 : 918,628 = 918,628 : x
  2. Step 2: Convert to fraction form
    418,312/918,628 = 918,628/x
  3. Step 3: Cross multiply
    418,312x = 918,628 × 918,628
  4. Step 4: Simplify right side
    418,312x = 843,877,402,384
  5. Step 5: Solve for x
    x = 843,877,402,384/418,312
  6. Step 6: Final answer
    x = 2,017,339.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.