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Finding the Third Proportional to 276,872,262.75 and 428,572,913.63

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Solution

The third proportional to 276,872,262.75 and 428,572,913.63 is: 663,391,632.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,872,262.75 : 428,572,913.63 = 428,572,913.63 : x
  2. Step 2: Convert to fraction form
    276,872,262.75/428,572,913.63 = 428,572,913.63/x
  3. Step 3: Cross multiply
    276,872,262.75x = 428,572,913.63 × 428,572,913.63
  4. Step 4: Simplify right side
    276,872,262.75x = 183,674,742,293,021,696
  5. Step 5: Solve for x
    x = 183,674,742,293,021,696/276,872,262.75
  6. Step 6: Final answer
    x = 663,391,632.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.