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Finding the Third Proportional to 74,313,209 and 155,402,289

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Solution

The third proportional to 74,313,209 and 155,402,289 is: 324,974,143.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,313,209 : 155,402,289 = 155,402,289 : x
  2. Step 2: Convert to fraction form
    74,313,209/155,402,289 = 155,402,289/x
  3. Step 3: Cross multiply
    74,313,209x = 155,402,289 × 155,402,289
  4. Step 4: Simplify right side
    74,313,209x = 24,149,871,426,439,520
  5. Step 5: Solve for x
    x = 24,149,871,426,439,520/74,313,209
  6. Step 6: Final answer
    x = 324,974,143.24

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.