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Finding the Third Proportional to 315,467 and 688,031

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Solution

The third proportional to 315,467 and 688,031 is: 1,500,590.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,467 : 688,031 = 688,031 : x
  2. Step 2: Convert to fraction form
    315,467/688,031 = 688,031/x
  3. Step 3: Cross multiply
    315,467x = 688,031 × 688,031
  4. Step 4: Simplify right side
    315,467x = 473,386,656,961
  5. Step 5: Solve for x
    x = 473,386,656,961/315,467
  6. Step 6: Final answer
    x = 1,500,590.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.