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Finding the Third Proportional to 810,975,477.50 and 1,256,307,501

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Solution

The third proportional to 810,975,477.50 and 1,256,307,501 is: 1,946,185,280.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,975,477.50 : 1,256,307,501 = 1,256,307,501 : x
  2. Step 2: Convert to fraction form
    810,975,477.50/1,256,307,501 = 1,256,307,501/x
  3. Step 3: Cross multiply
    810,975,477.50x = 1,256,307,501 × 1,256,307,501
  4. Step 4: Simplify right side
    810,975,477.50x = 1,578,308,537,068,865,024
  5. Step 5: Solve for x
    x = 1,578,308,537,068,865,024/810,975,477.50
  6. Step 6: Final answer
    x = 1,946,185,280.39

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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.