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Finding the Third Proportional to 489,443,158.13 and 776,287,253.25

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Solution

The third proportional to 489,443,158.13 and 776,287,253.25 is: 1,231,239,807.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,443,158.13 : 776,287,253.25 = 776,287,253.25 : x
  2. Step 2: Convert to fraction form
    489,443,158.13/776,287,253.25 = 776,287,253.25/x
  3. Step 3: Cross multiply
    489,443,158.13x = 776,287,253.25 × 776,287,253.25
  4. Step 4: Simplify right side
    489,443,158.13x = 602,621,899,558,429,696
  5. Step 5: Solve for x
    x = 602,621,899,558,429,696/489,443,158.13
  6. Step 6: Final answer
    x = 1,231,239,807.02

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.