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Finding the Third Proportional to 65,432,834 and 137,634,688

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Solution

The third proportional to 65,432,834 and 137,634,688 is: 289,507,670.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,432,834 : 137,634,688 = 137,634,688 : x
  2. Step 2: Convert to fraction form
    65,432,834/137,634,688 = 137,634,688/x
  3. Step 3: Cross multiply
    65,432,834x = 137,634,688 × 137,634,688
  4. Step 4: Simplify right side
    65,432,834x = 18,943,307,340,857,344
  5. Step 5: Solve for x
    x = 18,943,307,340,857,344/65,432,834
  6. Step 6: Final answer
    x = 289,507,670.43

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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.