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Finding the Third Proportional to 810,975,480 and 1,256,307,504

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Solution

The third proportional to 810,975,480 and 1,256,307,504 is: 1,946,185,283.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,975,480 : 1,256,307,504 = 1,256,307,504 : x
  2. Step 2: Convert to fraction form
    810,975,480/1,256,307,504 = 1,256,307,504/x
  3. Step 3: Cross multiply
    810,975,480x = 1,256,307,504 × 1,256,307,504
  4. Step 4: Simplify right side
    810,975,480x = 1,578,308,544,606,710,016
  5. Step 5: Solve for x
    x = 1,578,308,544,606,710,016/810,975,480
  6. Step 6: Final answer
    x = 1,946,185,283.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.