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Finding the Third Proportional to 10,497,871 and 15,011,971

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Solution

The third proportional to 10,497,871 and 15,011,971 is: 21,467,140.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497,871 : 15,011,971 = 15,011,971 : x
  2. Step 2: Convert to fraction form
    10,497,871/15,011,971 = 15,011,971/x
  3. Step 3: Cross multiply
    10,497,871x = 15,011,971 × 15,011,971
  4. Step 4: Simplify right side
    10,497,871x = 225,359,273,304,841
  5. Step 5: Solve for x
    x = 225,359,273,304,841/10,497,871
  6. Step 6: Final answer
    x = 21,467,140.65

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.