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Finding the Third Proportional to 442,473,458 and 637,397,931

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Solution

The third proportional to 442,473,458 and 637,397,931 is: 918,193,204.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,473,458 : 637,397,931 = 637,397,931 : x
  2. Step 2: Convert to fraction form
    442,473,458/637,397,931 = 637,397,931/x
  3. Step 3: Cross multiply
    442,473,458x = 637,397,931 × 637,397,931
  4. Step 4: Simplify right side
    442,473,458x = 406,276,122,443,080,768
  5. Step 5: Solve for x
    x = 406,276,122,443,080,768/442,473,458
  6. Step 6: Final answer
    x = 918,193,204.81

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.