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Finding the Third Proportional to 128,585,680 and 282,143,552

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Solution

The third proportional to 128,585,680 and 282,143,552 is: 619,081,253.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,585,680 : 282,143,552 = 282,143,552 : x
  2. Step 2: Convert to fraction form
    128,585,680/282,143,552 = 282,143,552/x
  3. Step 3: Cross multiply
    128,585,680x = 282,143,552 × 282,143,552
  4. Step 4: Simplify right side
    128,585,680x = 79,604,983,935,176,704
  5. Step 5: Solve for x
    x = 79,604,983,935,176,704/128,585,680
  6. Step 6: Final answer
    x = 619,081,253.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.