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Finding the Third Proportional to 306,263,540 and 470,748,945

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Solution

The third proportional to 306,263,540 and 470,748,945 is: 723,574,765.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,263,540 : 470,748,945 = 470,748,945 : x
  2. Step 2: Convert to fraction form
    306,263,540/470,748,945 = 470,748,945/x
  3. Step 3: Cross multiply
    306,263,540x = 470,748,945 × 470,748,945
  4. Step 4: Simplify right side
    306,263,540x = 221,604,569,218,613,024
  5. Step 5: Solve for x
    x = 221,604,569,218,613,024/306,263,540
  6. Step 6: Final answer
    x = 723,574,765.77

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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.