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Finding the Third Proportional to 10,021,124 and 21,459,421

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Solution

The third proportional to 10,021,124 and 21,459,421 is: 45,953,602.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,021,124 : 21,459,421 = 21,459,421 : x
  2. Step 2: Convert to fraction form
    10,021,124/21,459,421 = 21,459,421/x
  3. Step 3: Cross multiply
    10,021,124x = 21,459,421 × 21,459,421
  4. Step 4: Simplify right side
    10,021,124x = 460,506,749,655,241
  5. Step 5: Solve for x
    x = 460,506,749,655,241/10,021,124
  6. Step 6: Final answer
    x = 45,953,602.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.