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Finding the Third Proportional to 209,581,047,891 and 455,882,862,420

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Solution

The third proportional to 209,581,047,891 and 455,882,862,420 is: 991,641,116,120.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,581,047,891 : 455,882,862,420 = 455,882,862,420 : x
  2. Step 2: Convert to fraction form
    209,581,047,891/455,882,862,420 = 455,882,862,420/x
  3. Step 3: Cross multiply
    209,581,047,891x = 455,882,862,420 × 455,882,862,420
  4. Step 4: Simplify right side
    209,581,047,891x = 207,829,184,248,252,651,798,528
  5. Step 5: Solve for x
    x = 207,829,184,248,252,651,798,528/209,581,047,891
  6. Step 6: Final answer
    x = 991,641,116,120.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.