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Finding the Third Proportional to 145,465,518 and 217,984,950

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Solution

The third proportional to 145,465,518 and 217,984,950 is: 326,657,747.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,465,518 : 217,984,950 = 217,984,950 : x
  2. Step 2: Convert to fraction form
    145,465,518/217,984,950 = 217,984,950/x
  3. Step 3: Cross multiply
    145,465,518x = 217,984,950 × 217,984,950
  4. Step 4: Simplify right side
    145,465,518x = 47,517,438,426,502,496
  5. Step 5: Solve for x
    x = 47,517,438,426,502,496/145,465,518
  6. Step 6: Final answer
    x = 326,657,747.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.