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Finding the Third Proportional to 400,704,768 and 604,210,468

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Solution

The third proportional to 400,704,768 and 604,210,468 is: 911,070,490.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,704,768 : 604,210,468 = 604,210,468 : x
  2. Step 2: Convert to fraction form
    400,704,768/604,210,468 = 604,210,468/x
  3. Step 3: Cross multiply
    400,704,768x = 604,210,468 × 604,210,468
  4. Step 4: Simplify right side
    400,704,768x = 365,070,289,640,779,008
  5. Step 5: Solve for x
    x = 365,070,289,640,779,008/400,704,768
  6. Step 6: Final answer
    x = 911,070,490.78

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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.