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Finding the Third Proportional to 65,432,871 and 137,634,759

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Solution

The third proportional to 65,432,871 and 137,634,759 is: 289,507,805.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,432,871 : 137,634,759 = 137,634,759 : x
  2. Step 2: Convert to fraction form
    65,432,871/137,634,759 = 137,634,759/x
  3. Step 3: Cross multiply
    65,432,871x = 137,634,759 × 137,634,759
  4. Step 4: Simplify right side
    65,432,871x = 18,943,326,884,988,080
  5. Step 5: Solve for x
    x = 18,943,326,884,988,080/65,432,871
  6. Step 6: Final answer
    x = 289,507,805.41

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.