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Finding the Third Proportional to 332,130,064 and 713,549,124.50

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Solution

The third proportional to 332,130,064 and 713,549,124.50 is: 1,532,990,861.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,130,064 : 713,549,124.50 = 713,549,124.50 : x
  2. Step 2: Convert to fraction form
    332,130,064/713,549,124.50 = 713,549,124.50/x
  3. Step 3: Cross multiply
    332,130,064x = 713,549,124.50 × 713,549,124.50
  4. Step 4: Simplify right side
    332,130,064x = 509,152,353,074,716,480
  5. Step 5: Solve for x
    x = 509,152,353,074,716,480/332,130,064
  6. Step 6: Final answer
    x = 1,532,990,861.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.