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Finding the Third Proportional to 464,697 and 688,410

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Solution

The third proportional to 464,697 and 688,410 is: 1,019,822.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,697 : 688,410 = 688,410 : x
  2. Step 2: Convert to fraction form
    464,697/688,410 = 688,410/x
  3. Step 3: Cross multiply
    464,697x = 688,410 × 688,410
  4. Step 4: Simplify right side
    464,697x = 473,908,328,100
  5. Step 5: Solve for x
    x = 473,908,328,100/464,697
  6. Step 6: Final answer
    x = 1,019,822.22

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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.