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Finding the Third Proportional to 459,902,547.50 and 689,684,977.50

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Solution

The third proportional to 459,902,547.50 and 689,684,977.50 is: 1,034,274,262.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,902,547.50 : 689,684,977.50 = 689,684,977.50 : x
  2. Step 2: Convert to fraction form
    459,902,547.50/689,684,977.50 = 689,684,977.50/x
  3. Step 3: Cross multiply
    459,902,547.50x = 689,684,977.50 × 689,684,977.50
  4. Step 4: Simplify right side
    459,902,547.50x = 475,665,368,189,175,488
  5. Step 5: Solve for x
    x = 475,665,368,189,175,488/459,902,547.50
  6. Step 6: Final answer
    x = 1,034,274,262.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.