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Finding the Third Proportional to 270,704,643 and 401,140,948.50

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Solution

The third proportional to 270,704,643 and 401,140,948.50 is: 594,426,673.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,704,643 : 401,140,948.50 = 401,140,948.50 : x
  2. Step 2: Convert to fraction form
    270,704,643/401,140,948.50 = 401,140,948.50/x
  3. Step 3: Cross multiply
    270,704,643x = 401,140,948.50 × 401,140,948.50
  4. Step 4: Simplify right side
    270,704,643x = 160,914,060,563,479,648
  5. Step 5: Solve for x
    x = 160,914,060,563,479,648/270,704,643
  6. Step 6: Final answer
    x = 594,426,673.96

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.