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Finding the Third Proportional to 508,613,778 and 1,098,537,284

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Solution

The third proportional to 508,613,778 and 1,098,537,284 is: 2,372,692,633.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,613,778 : 1,098,537,284 = 1,098,537,284 : x
  2. Step 2: Convert to fraction form
    508,613,778/1,098,537,284 = 1,098,537,284/x
  3. Step 3: Cross multiply
    508,613,778x = 1,098,537,284 × 1,098,537,284
  4. Step 4: Simplify right side
    508,613,778x = 1,206,784,164,338,096,640
  5. Step 5: Solve for x
    x = 1,206,784,164,338,096,640/508,613,778
  6. Step 6: Final answer
    x = 2,372,692,633.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.