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Finding the Third Proportional to 10,478,560 and 15,653,136

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Solution

The third proportional to 10,478,560 and 15,653,136 is: 23,383,047.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,478,560 : 15,653,136 = 15,653,136 : x
  2. Step 2: Convert to fraction form
    10,478,560/15,653,136 = 15,653,136/x
  3. Step 3: Cross multiply
    10,478,560x = 15,653,136 × 15,653,136
  4. Step 4: Simplify right side
    10,478,560x = 245,020,666,634,496
  5. Step 5: Solve for x
    x = 245,020,666,634,496/10,478,560
  6. Step 6: Final answer
    x = 23,383,047.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.