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Finding the Third Proportional to 129,863,068.63 and 285,698,434.63

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Solution

The third proportional to 129,863,068.63 and 285,698,434.63 is: 628,535,860.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,863,068.63 : 285,698,434.63 = 285,698,434.63 : x
  2. Step 2: Convert to fraction form
    129,863,068.63/285,698,434.63 = 285,698,434.63/x
  3. Step 3: Cross multiply
    129,863,068.63x = 285,698,434.63 × 285,698,434.63
  4. Step 4: Simplify right side
    129,863,068.63x = 81,623,595,547,175,392
  5. Step 5: Solve for x
    x = 81,623,595,547,175,392/129,863,068.63
  6. Step 6: Final answer
    x = 628,535,860.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.