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Finding the Third Proportional to 5,329,809 and 8,042,709

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Solution

The third proportional to 5,329,809 and 8,042,709 is: 12,136,488.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,329,809 : 8,042,709 = 8,042,709 : x
  2. Step 2: Convert to fraction form
    5,329,809/8,042,709 = 8,042,709/x
  3. Step 3: Cross multiply
    5,329,809x = 8,042,709 × 8,042,709
  4. Step 4: Simplify right side
    5,329,809x = 64,685,168,058,681
  5. Step 5: Solve for x
    x = 64,685,168,058,681/5,329,809
  6. Step 6: Final answer
    x = 12,136,488.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.