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Finding the Third Proportional to 130,757,666,448 and 186,983,685,696

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Solution

The third proportional to 130,757,666,448 and 186,983,685,696 is: 267,386,988,971.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,757,666,448 : 186,983,685,696 = 186,983,685,696 : x
  2. Step 2: Convert to fraction form
    130,757,666,448/186,983,685,696 = 186,983,685,696/x
  3. Step 3: Cross multiply
    130,757,666,448x = 186,983,685,696 × 186,983,685,696
  4. Step 4: Simplify right side
    130,757,666,448x = 34,962,898,716,460,513,755,136
  5. Step 5: Solve for x
    x = 34,962,898,716,460,513,755,136/130,757,666,448
  6. Step 6: Final answer
    x = 267,386,988,971.42

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.