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Finding the Third Proportional to 6,931,521 and 15,456,807

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Solution

The third proportional to 6,931,521 and 15,456,807 is: 34,467,598.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,931,521 : 15,456,807 = 15,456,807 : x
  2. Step 2: Convert to fraction form
    6,931,521/15,456,807 = 15,456,807/x
  3. Step 3: Cross multiply
    6,931,521x = 15,456,807 × 15,456,807
  4. Step 4: Simplify right side
    6,931,521x = 238,912,882,635,249
  5. Step 5: Solve for x
    x = 238,912,882,635,249/6,931,521
  6. Step 6: Final answer
    x = 34,467,598.47

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.