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Finding the Third Proportional to 444,358 and 688,248

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Solution

The third proportional to 444,358 and 688,248 is: 1,065,999.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,358 : 688,248 = 688,248 : x
  2. Step 2: Convert to fraction form
    444,358/688,248 = 688,248/x
  3. Step 3: Cross multiply
    444,358x = 688,248 × 688,248
  4. Step 4: Simplify right side
    444,358x = 473,685,309,504
  5. Step 5: Solve for x
    x = 473,685,309,504/444,358
  6. Step 6: Final answer
    x = 1,065,999.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.