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Finding the Third Proportional to 253,808,432 and 342,447,167.50

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Solution

The third proportional to 253,808,432 and 342,447,167.50 is: 462,041,633.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,808,432 : 342,447,167.50 = 342,447,167.50 : x
  2. Step 2: Convert to fraction form
    253,808,432/342,447,167.50 = 342,447,167.50/x
  3. Step 3: Cross multiply
    253,808,432x = 342,447,167.50 × 342,447,167.50
  4. Step 4: Simplify right side
    253,808,432x = 117,270,062,528,773,056
  5. Step 5: Solve for x
    x = 117,270,062,528,773,056/253,808,432
  6. Step 6: Final answer
    x = 462,041,633.54

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.