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Finding the Third Proportional to 635,209,156 and 971,500,038

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Solution

The third proportional to 635,209,156 and 971,500,038 is: 1,485,829,218.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,209,156 : 971,500,038 = 971,500,038 : x
  2. Step 2: Convert to fraction form
    635,209,156/971,500,038 = 971,500,038/x
  3. Step 3: Cross multiply
    635,209,156x = 971,500,038 × 971,500,038
  4. Step 4: Simplify right side
    635,209,156x = 943,812,323,834,001,408
  5. Step 5: Solve for x
    x = 943,812,323,834,001,408/635,209,156
  6. Step 6: Final answer
    x = 1,485,829,218.49

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.