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Finding the Third Proportional to 10,306,507 and 21,460,785

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Solution

The third proportional to 10,306,507 and 21,460,785 is: 44,686,846.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,306,507 : 21,460,785 = 21,460,785 : x
  2. Step 2: Convert to fraction form
    10,306,507/21,460,785 = 21,460,785/x
  3. Step 3: Cross multiply
    10,306,507x = 21,460,785 × 21,460,785
  4. Step 4: Simplify right side
    10,306,507x = 460,565,292,816,225
  5. Step 5: Solve for x
    x = 460,565,292,816,225/10,306,507
  6. Step 6: Final answer
    x = 44,686,846.17

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.