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Finding the Third Proportional to 78,472,957.63 and 122,477,643

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Solution

The third proportional to 78,472,957.63 and 122,477,643 is: 191,158,502.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,472,957.63 : 122,477,643 = 122,477,643 : x
  2. Step 2: Convert to fraction form
    78,472,957.63/122,477,643 = 122,477,643/x
  3. Step 3: Cross multiply
    78,472,957.63x = 122,477,643 × 122,477,643
  4. Step 4: Simplify right side
    78,472,957.63x = 15,000,773,034,835,448
  5. Step 5: Solve for x
    x = 15,000,773,034,835,448/78,472,957.63
  6. Step 6: Final answer
    x = 191,158,502.10

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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.