Finding the Third Proportional to 724,462,823 and 1,129,740,929
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Solution
The third proportional to 724,462,823 and 1,129,740,929 is: 1,761,739,217.17
Step by Step Solution
- Step 1: Write the proportion equation
724,462,823 : 1,129,740,929 = 1,129,740,929 : x - Step 2: Convert to fraction form
724,462,823/1,129,740,929 = 1,129,740,929/x - Step 3: Cross multiply
724,462,823x = 1,129,740,929 × 1,129,740,929 - Step 4: Simplify right side
724,462,823x = 1,276,314,566,657,783,040 - Step 5: Solve for x
x = 1,276,314,566,657,783,040/724,462,823 - Step 6: Final answer
x = 1,761,739,217.17
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Why These Related Problems?
These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.