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Finding the Third Proportional to 5,347,730 and 8,778,747

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Solution

The third proportional to 5,347,730 and 8,778,747 is: 14,411,048.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,347,730 : 8,778,747 = 8,778,747 : x
  2. Step 2: Convert to fraction form
    5,347,730/8,778,747 = 8,778,747/x
  3. Step 3: Cross multiply
    5,347,730x = 8,778,747 × 8,778,747
  4. Step 4: Simplify right side
    5,347,730x = 77,066,398,890,009
  5. Step 5: Solve for x
    x = 77,066,398,890,009/5,347,730
  6. Step 6: Final answer
    x = 14,411,048.97

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.