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Finding the Third Proportional to 306,263,538 and 470,748,942

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Solution

The third proportional to 306,263,538 and 470,748,942 is: 723,574,761.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,263,538 : 470,748,942 = 470,748,942 : x
  2. Step 2: Convert to fraction form
    306,263,538/470,748,942 = 470,748,942/x
  3. Step 3: Cross multiply
    306,263,538x = 470,748,942 × 470,748,942
  4. Step 4: Simplify right side
    306,263,538x = 221,604,566,394,119,360
  5. Step 5: Solve for x
    x = 221,604,566,394,119,360/306,263,538
  6. Step 6: Final answer
    x = 723,574,761.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.