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Finding the Third Proportional to 976,398,818 and 1,473,678,196

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Solution

The third proportional to 976,398,818 and 1,473,678,196 is: 2,224,221,686.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,398,818 : 1,473,678,196 = 1,473,678,196 : x
  2. Step 2: Convert to fraction form
    976,398,818/1,473,678,196 = 1,473,678,196/x
  3. Step 3: Cross multiply
    976,398,818x = 1,473,678,196 × 1,473,678,196
  4. Step 4: Simplify right side
    976,398,818x = 2,171,727,425,365,814,528
  5. Step 5: Solve for x
    x = 2,171,727,425,365,814,528/976,398,818
  6. Step 6: Final answer
    x = 2,224,221,686.19

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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.