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Finding the Third Proportional to 8,461,217 and 12,890,060

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Solution

The third proportional to 8,461,217 and 12,890,060 is: 19,637,086.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461,217 : 12,890,060 = 12,890,060 : x
  2. Step 2: Convert to fraction form
    8,461,217/12,890,060 = 12,890,060/x
  3. Step 3: Cross multiply
    8,461,217x = 12,890,060 × 12,890,060
  4. Step 4: Simplify right side
    8,461,217x = 166,153,646,803,600
  5. Step 5: Solve for x
    x = 166,153,646,803,600/8,461,217
  6. Step 6: Final answer
    x = 19,637,086.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.