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Finding the Third Proportional to 426,974,037.75 and 645,010,290

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Solution

The third proportional to 426,974,037.75 and 645,010,290 is: 974,387,755.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,974,037.75 : 645,010,290 = 645,010,290 : x
  2. Step 2: Convert to fraction form
    426,974,037.75/645,010,290 = 645,010,290/x
  3. Step 3: Cross multiply
    426,974,037.75x = 645,010,290 × 645,010,290
  4. Step 4: Simplify right side
    426,974,037.75x = 416,038,274,205,884,096
  5. Step 5: Solve for x
    x = 416,038,274,205,884,096/426,974,037.75
  6. Step 6: Final answer
    x = 974,387,755.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.