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Finding the Third Proportional to 121,690,740,448 and 260,128,605,440

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Solution

The third proportional to 121,690,740,448 and 260,128,605,440 is: 556,056,205,419.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,690,740,448 : 260,128,605,440 = 260,128,605,440 : x
  2. Step 2: Convert to fraction form
    121,690,740,448/260,128,605,440 = 260,128,605,440/x
  3. Step 3: Cross multiply
    121,690,740,448x = 260,128,605,440 × 260,128,605,440
  4. Step 4: Simplify right side
    121,690,740,448x = 67,666,891,368,159,195,955,200
  5. Step 5: Solve for x
    x = 67,666,891,368,159,195,955,200/121,690,740,448
  6. Step 6: Final answer
    x = 556,056,205,419.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.