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Finding the Third Proportional to 102,770,843 and 242,528,748

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Solution

The third proportional to 102,770,843 and 242,528,748 is: 572,343,204.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,770,843 : 242,528,748 = 242,528,748 : x
  2. Step 2: Convert to fraction form
    102,770,843/242,528,748 = 242,528,748/x
  3. Step 3: Cross multiply
    102,770,843x = 242,528,748 × 242,528,748
  4. Step 4: Simplify right side
    102,770,843x = 58,820,193,606,447,504
  5. Step 5: Solve for x
    x = 58,820,193,606,447,504/102,770,843
  6. Step 6: Final answer
    x = 572,343,204.45

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.