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Finding the Third Proportional to 318,872,526 and 455,988,256

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Solution

The third proportional to 318,872,526 and 455,988,256 is: 652,063,983.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,872,526 : 455,988,256 = 455,988,256 : x
  2. Step 2: Convert to fraction form
    318,872,526/455,988,256 = 455,988,256/x
  3. Step 3: Cross multiply
    318,872,526x = 455,988,256 × 455,988,256
  4. Step 4: Simplify right side
    318,872,526x = 207,925,289,609,921,536
  5. Step 5: Solve for x
    x = 207,925,289,609,921,536/318,872,526
  6. Step 6: Final answer
    x = 652,063,983.74

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.