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Finding the Third Proportional to 11,429,454 and 15,564,789

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Solution

The third proportional to 11,429,454 and 15,564,789 is: 21,196,345.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,429,454 : 15,564,789 = 15,564,789 : x
  2. Step 2: Convert to fraction form
    11,429,454/15,564,789 = 15,564,789/x
  3. Step 3: Cross multiply
    11,429,454x = 15,564,789 × 15,564,789
  4. Step 4: Simplify right side
    11,429,454x = 242,262,656,614,521
  5. Step 5: Solve for x
    x = 242,262,656,614,521/11,429,454
  6. Step 6: Final answer
    x = 21,196,345.57

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.