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Finding the Third Proportional to 464,519 and 688,143

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Solution

The third proportional to 464,519 and 688,143 is: 1,019,421.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,519 : 688,143 = 688,143 : x
  2. Step 2: Convert to fraction form
    464,519/688,143 = 688,143/x
  3. Step 3: Cross multiply
    464,519x = 688,143 × 688,143
  4. Step 4: Simplify right side
    464,519x = 473,540,788,449
  5. Step 5: Solve for x
    x = 473,540,788,449/464,519
  6. Step 6: Final answer
    x = 1,019,421.79

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.