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Finding the Third Proportional to 209,917,248 and 455,516,304

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Solution

The third proportional to 209,917,248 and 455,516,304 is: 988,461,430.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,917,248 : 455,516,304 = 455,516,304 : x
  2. Step 2: Convert to fraction form
    209,917,248/455,516,304 = 455,516,304/x
  3. Step 3: Cross multiply
    209,917,248x = 455,516,304 × 455,516,304
  4. Step 4: Simplify right side
    209,917,248x = 207,495,103,209,820,416
  5. Step 5: Solve for x
    x = 207,495,103,209,820,416/209,917,248
  6. Step 6: Final answer
    x = 988,461,430.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.